MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $\big(\frac{1}{5}\big)\text{-x}=\frac{-4}{5}$ then $x$ is $1$.
Reason: $\frac{\text{p}}{4}+\frac{\text{p}}{3}=55-\frac{({\text{p}}+40)}{50} $ then the value of $p$ is $89.834$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The system of equations $ax + by = c,$ $lx + my = n$, has a unique solution.
Reason: Graphically, the pair of equations $7x - y = 5; 21x - 3y = 10$ represents two lines which are parallel.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $4 a-3=13$, then the value of $10 a^2-5 a+6$. is $149.$
Reason: Every horizontal line has an undefined slope.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\frac{1}{\text{x}}+\frac{1}{\text{y}}=\frac{1}{6}$ is the not linear equation in two variable.
Reason: $6x + 6y = xy$ is not form of the $y = mx + c$, hence it is not linear equation.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Linear equation in one variable has only one variable with power one.
Reason: Linear equation in one variable has only one variable with power one.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.
Reason: A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: An equation of the type $y = mx$ represents a line passing through the origin.
Reason: Every point on the graph of a linear equation in two variables is a solution of the quadratic equation.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of $y = 4x$ is line passing through the origin.
Reason: The pair of equations $x = 0$ and $x = 5$ has two solutions.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The linear equation $2x - 5y = 7$ has no solution.
Reason: The linear equation $3x - y = x - 1$ has unique solution.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of linear equation in two variables need not be a line.
Reason: One number is $5$ more than seven times the other number it can be represented by $x + 7y = 5$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of the equation $3x + y = 0$ is a line passing through the origin.
Reason: An equation of the form $ax + by + c = 0$, where $a, b, c$ are real numbers is called a linear equation in $x$ and $y$.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- ✓
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: B. Both assertion and reason are true but reason is not the correct explanation of assertion.
Both assertion and reason are true but reason is not the correct explanation of assertion.
View full question & answer→MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $x = a, y = b$ is the solution of the equations $x + y = 5$ and $2x - 3y = 4$, then the values of $a$ and $b$ are $\big(\frac{19}{5},\frac{6}{5}\big).$
Reason: The graph of the equation $2x + 3y = 5$ is a straight line.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The linear equation in two variblec $3x - 11y = 10$ has infinitely many solution.
Reason: $3\text{x}-11\text{y}=10 \text{ y}=\frac{(3\text{x}-10)}{11}$ for infinite values of $x, y$ will also have infinite solutions.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $X=3$ and $y = 2$ is a solution of the linear equation $2x + 3y = 12$.
Reason:$X = 4$ and $y = 2$ is a solution of the linear equation $x + 3y = 10$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The value of k for which the system of linear equations $3x - 4y = 7$ and $6x - 8y = k$ have infinite number of solution is $14$.
Reason: The graph of linear equations $a1x + b1y + c1 = 0$ and $a2x + b2y + c2 = 0$ gives a pair of intersecting lines if $\frac{\text{a}1}{\text{a}2}\neq\frac{\text{b}1}{\text{b}2}$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point of the form $(a, a)$ always lies on $y = x$.
Reason: If we multiply or divide both sides of a linear equation with the same non - zero number, then the solution of the linear equation remains the same.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: For all values of $\text{k},\Big(\frac{-3}{2},\text{k}\Big)$ is a solution of the linear equation $2x + 3 = 0$.
Reason: The linear equation $ax + b = 0$ can be expressed as a linear equation in two variables as $ax + y + b = 0$.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
$\Big(\frac{-3}{2},\text{k}\Big)$ is a solution of $2x + 3 = 0$
$2\times\Big(\frac{-3}{2},\Big)+3=-3+3=0$
$\Big(\frac{-3}{2},\text{k}\Big)$ is a solution of $2x + 3 = 0$ for all values k.
Also $ax + b = 0$ can be expressed as a linear equation in two variables as $ax + 0 × y + b = 0$.
View full question & answer→MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $2x + 3y = 7$ is linear equation and the value of $a = 2, b = 3, c = 7$.
Reason: $ax + by + c = 0$ is the form of linear equation where $a, b, c$ are the real number.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Getting a solution is to take $x = 0$ and get thecorresponding value of y. Similarly, we can put $y = 0$ and obtain the corresponding value of $x$.
Reason: $4x + 3y = 12$ Taking $x = 0$, we get $3y = 12$, i.e., $y = 4$. So, $(0, 4)$ is a solution of the given equation. Similarly, by taking $y = 0$, we get $x = 3$. Thus, $(3, 0)$ is also a solution.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion:The graph of the linear equation $x - 2y = 1$ passes through the point $(3, 1)$.
Reason: Every point lying on graph is not a solution of $x - 2y = 1$.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
If $(3, 1)$ lies on the graph of $x - 2y = 1$
For $x - 2y = 1, (3, 1)$ is a solution as $3 - 2 \times 1 = 1$.
View full question & answer→MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The number of common solutions for the system of linear equations $5x + 4y + 6 = 0$ and $10x + 8y= 12$ is zero.
Reason: The graph of linear equations $a1x + b1y + c1 = 0$ and $a2x + b2y + c2 = 0$ gives a pair of intersecting lines if $\frac{\text{a}1}{\text{a}2}\neq\frac{\text{b}1}{\text{b}2}$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The pair of equations $3x - 5y = 7$ and $-6x + 10y = 7$ have no solution.
Reason: Two equations in two variables taken together are called linear equation.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A linear system with fewer equations than unknowns must have infinitely many solutions.
Reason: If the system $Ax = b$ has a no solution, then A must be a square matrix.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $5\text{x}−2(2\text{x}−7)=2(3\text{x}−1)+\frac{7}{2}$ is $-2$.
Reason: $x + 3$ is an example of two variable expression.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point $(1, 1)$ is the solution of $x + y = 2$.
Reason: Every point which satisfy the linear equation is a solution of the equation.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
Putting $(1, 1)$ in the given equation, we have
$L.H.S = 1 + 1 = 2 = R.H.S$
$L.H.S = R.H.S$
Hence $(1, 1)$ satisfy the $x + y = 2$.
So it is the solution of $x + y = 2$.
View full question & answer→MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A linear equation in two variables has infinitely many solutions.
Reason: A linear equation $3x + 5y = 2$ has a unique solution.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $x = 3$ and $y = -2$ is a solution of the equation $4px – 3y = 12$, then the value of $p$ is $\frac{1}{2}$.
Reason: Graph of linear equation $ax + by + c = 0, a \times 0, 6 \times 0$ cuts $x$ - axis and $y$ - axis respectively at the points $(x, 0), (y, 0)$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All the points $(1, 0), (-1, 0), (2,0)$ and $(5, 0)$ lie on the $x$ - axis.
Reason: Equation of the $x$ - axis is $y = 0$.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
Both assertion and reason are true and reason is the correct explanation of assertion.
View full question & answer→MCQ 291 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Just as numbers, variables can, also, be transposed from one side of the equation to the other.
Reason: $3(t - 3) = 5(2t + 1)$ is $+ 1$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 301 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of the linear equation $2x + 3y = 6$ cuts the $y$ - axis at the point $(0, 2)$.
Reason: The equation $2x + 5y = 7$ has a unique solution, if $x, y$ are natural number.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 311 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In equations, we have positive sign which is missing in expressions.
Reason: In an equation the values of the expressions on the $LHS$ and $RHS$ are different.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 321 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: There are infinite number of lines which passes through $(3, 2)$.
Reason: A linear equation in two variables has infinitely many solutions.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 331 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A linear equation $2x + 3y = 5$ has a unique solution.
Reason: A linear equation in two variables has infinitely many solutions.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Assertion is false but reason is true.
View full question & answer→MCQ 341 Mark
Directions: In the following questions, the Assertions $(A) $and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $x + y = 3$ is not the equation of a line passing through the origin.
Reason: $y = 2x$ is the equation of a line passing through the origin.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 351 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perimeter of a rectangular swimming pool is $154\ m$. Its length is $2\ m$ more than twice its breadth. Then the breadth of the pool is $25$.
Reason: Baichung’s father is $26$ years younger than Baichung’s grandfather and $29$ years older than Baichung. The sum of the ages of all the three is $135$ years. then the age of Baichungs grandfather is $22$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 361 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The equation of $2x + 5 = 0$ and $3x + y = 5$ both have degree $1$.
Reason: The degree of a linear equation in two variables is $2$.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
Every linear equation has degree $1$.
$2x + 5 = 0$ and $3x + y = 5$ are linear equations.
So, both have degree $1$.
View full question & answer→MCQ 371 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of $y = a$ is a straight line parallel to the $y$ - axis.
Reason: The graph of $x = a$ is a straight line parallel to the $x$ - axis.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 381 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Any point on the $x$ - axis is of the form $(x, 0)$.
Reason: Any point on the $x$ - axis is of the form $(x, 0)$. On the $x$ - axis, $x$ can take any values, whereas $y$ should be equal to $0$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 391 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$.
Reason: $(0, 3)$ satisfies the equation $3x + 4y = 12$.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
Both assertion and reason are true and reason is the correct explanation of assertion.
View full question & answer→MCQ 401 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $3x + 10 = 0$ will has only one solution.
Reason: $3x + 10 = 0$, $\text{x}= \frac{-10}{3}.$ Hence, only one solution is possible.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 411 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The equation $y = 5,$ in two variables, can be written $0.x + 1. y = 5$.
Reason: The solution of a linear equation is not affected when the same number is added to or subtracted from both the sides of the equation.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 421 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: An equation of the form $ax + by + c = 0$, where $a, b$ and $c$ are real numbers, such that $a$ and $b$ are not both zero, is called a linear equation in two variables.
Reason: A linear equation in two variables has infinitely many solutions.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 431 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the temperature of a liquid can be measured in Kelvin units as $x^\circ\ K$ or in Fahrenheit units as $y^\circ F$, the relation between the two systems of measurement of temperature is given by the linear equation $\text{y}=\frac{9}{5}(\text{x}-273)+32$. If the temperature is $158^\circ\ F$, then the temperature in Kelvin is $343^\circ\ k$.
Reason: The Autorikshaw fare in a city is charged $Rs\ 10$ for the first kilometer and $Rs\ 4$ per kilometer for subsequent distance covered. Then the linear equation to express the above statement is $Y = 4x + 6$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 441 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of linear equations $a1x + b1y + c1 = 0$ and $a2x + b2y + c2 = 0$ gives a pair of intersecting lines if $\frac{\text{a}1}{\text{a}2}\neq\frac{\text{b}1}{\text{b}2}$
Reason: The graphical representation of the equations $x + 2y = 3$ and $2x + 4y + 7 = 0$ gives a pair of coincident lines.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 451 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of every linear equation in two variables is a straight line.
Reason: $x = 0$ is the equation of the $y$ - axis and $y = 0$ is the equation of the $x$ - axis.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 461 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $y = 3x$ represents a line passing through the origin.
Reason: Any line parallel to the $x$ - axis is $y = a$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 471 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The solution of equation $x - 2y = 4$ is $(0, 2)$.
Reason: The graph of linear equation $x + 2y = 2$, cuts the y - axis at $(2, 0)$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 481 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Straight line passing through the points $(-1, 1), (0, 0)$ and $(1, -1)$ has equation $x = 2y.$
Reason: If a linear equation has solutions $(-3, 3), (0, 0)$ and $(3, -3),$ then it is of the form $y - x = 0$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 491 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Solution of linear equation $2x + 0. y + 9 = 0 $is $\big(\frac{-9}{2},0\big).$
Reason: Cost of book (x) exceeds twice the cost of pen $(y)$ by $Rs\ 10$. This statement can be expressed as linear equation $x - 2y - 10 = 0.$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 501 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If we multiply or divide both sides of a linear equation with a non - zero number, then the solution of the linear equation remains the same.
Reason:
The graph represents the linear equation $x = 3$. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 511 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In equation $y = mx + c$ is a slope.
Reason: Linear equation in two variables is of the form $ax + by + c = 0$, where $a ≠ 0, b ≠ 0$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 521 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point $(3, 0)$ lies on the graph of the linear equation $4x + 3y = 12$.
Reason: $(3, 0)$ satisfies the equation $4x + 3y = 12$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 531 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: One equation of a pair of dependent linear equations is $2x + 5y = 3$. The second equation will be. $-10x - 25y + 15 = 0$.
Reason: If a pair of linear equations is consistent, then the lines will be intersecting or coincident.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 541 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point $(2, 2)$ is the solution of $x + y = 4$.
Reason: Every point which satisfy the linear equation is a solution of the equation.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 551 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Any point on line $x = y$ is of the form $(k, k)$.
Reason: The graph of $x = 3$ is a line parallel to the $y$ - axis at a distance of $2$ units from the origin.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 561 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $x = 2k - 1$ and $y = k$ is a solution of the equation $3x - 5y - 7 = 0$, then the value of $k$ is $10$.
Reason: A linear equation in two variables has infinitely many solutions.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 571 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of every linear equation in two variables need not be a line.
Reason: The $x$ - intercept of $6x - 5y = 30$ is $(5, 0)$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 581 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $x = 2, y = 1$ is a solution of the equation $2x + 3y = k,$ then the value of $k$ is $7$.
Reason: The solution of the line will satisfy the equation of the line.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 591 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The value of k for which the system of equations $3x + ky = 0$ and $2x - y = 0$ has a unique solution is $\text{k}\neq\frac{-3}{2}$
Reason: The graph of linear equations $a1x + b1y + c1 = 0$ and $a2x + b2y + c2 = 0$ gives a pair of intersecting lines if $\frac{\text{a}1}{\text{a}2}\neq\frac{\text{b}1}{\text{b}2}$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 601 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of every linear equation in two variables need not be a line.
Reason: Graph of a linear equation in two variables is always a line.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Assertion is false but reason is true.
View full question & answer→MCQ 611 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Any point on the $y$ - axis is of the form $(0, y)$.
Reason: Any point on the $y$ - axis is of the form $(0, y)$. On the $y$ - axis, $y$ can take any values and $x$ should be equal to $0$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 621 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $x$ represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is $5$ more than $6$ times the age of the son’ in terms of mathematical equation is $x = 6y + 5$.
Reason: Equation of a line passing through origin is $x - y = 0$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 631 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The graph of the linear equations $3x + 2y = 12$ and $5x - 2y = 4$ gives a pair of intersecting lines.
Reason: The graph of linear equations $a1x + b1y + c1 = 0$ and a2x + b2y + c2 = 0 gives a pair of intersecting lines if $\frac{\text{a}1}{\text{a}2}\neq\frac{\text{b}1}{\text{b}2}$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 641 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $2x + 3y = 4.37$ is a linear equation in two variable.
Reason: $ax + b$ is also written as $ax + 0y + b$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 651 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The linear equations $x - 2y - 3 = 0$ and $3x + 4y - 20 = 0$ have exactly one solution.
Reason: The linear equation $2x + 3y - 9 = 0$ and $4x + 6y - 18 = 0$ have a unique solution.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 661 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the pair of lines are coincident, then we say that pair of lines is consistent and it has a unique solution.
Reason: If the pair of lines are parallel, then the pairs has solution and is called inconsistent pair of equations.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 671 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: There are infinite number of lines which passes through $(2, 14)$.
Reason: A linear equation in two variables has infinitely many solutions.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 681 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: This system is a linear system: $x + y = 2, 2x - 3y = 0$.
Reason: Some equations may not even be linear to begin with, but they can be brought to a linear form by multiplying both sides of the equation by a suitable expression.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 691 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The value of $q = ±2, if x = 3, y = 1$ is the solution of the line$ 2x + y - q2 - 3 = 0$.
Reason: The solution of the line will satisfy the equation of the line.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→