$x = 2, y = -1$ is a solution of the linear equation:
- ✓$x + 2y = 0$
- B$x + 2y = 4$
- C$2x + y = 0$
- D$2x + y = 5$
Answer: A.
View full solution →Question types
Linear Equations in Two Variables question types
309 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
309
Questions
7
Question groups
5
Question types
01
M.C.Q
189 Q→02Assertion (A) & Reason (B) MCQ
69 Q→03True False[1 Marks ]
7 Q→041 Marks Question
25 Q→052 Marks Questions
11 Q→063 Marks Question
2 Q→07Case study (4 Marks)
6 Q→Sample Questions
Linear Equations in Two Variables questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The equation of the $y-$axis is:
- ✓$x = 0$
- B$y = 0$
- C$x + y = 0$
- D$x = y$
Answer: A.
View full solution →The equation $2x + 5y = 7$ has a unique solution, if $x$ and $y$ are:
- ✓Natural numbers.
- BRational numbers.
- CPositive real numbers.
- DReal numbers.
Answer: A.
View full solution →The graph of the linear equation $2x + 5y = 10$ meets the $x-$axis at the point.
- A$(0, 5)$
- ✓$(5, 0)$
- C$(0, 2)$
- D$(2, 0)$
Answer: B.
View full solution →The graph of the linear equation $2x + 3y = 6$ is a line which meets the $x-$axis at the point.
- A$(0, 2)$
- B$(0, 3)$
- ✓$(3, 0)$
- D$(2, 0)$
Answer: C.
View full solution →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 $89.834$.
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 $89.834$.
- ABoth 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.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: B.
View full solution →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.
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.
- ABoth 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.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: B.
View full solution →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.
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.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- ✓Both assertion and reason are false.
Answer: D.
View full solution →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.
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.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →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.
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.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →The boundaries of the solids are curves.
The coordinates of points in the table.
represent some of the solutions of the equation $x – y + 2 = 0.$
View full solution →| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y$ | $2$ | $3$ | $4$ | $-5$ | $6$ |
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
The graph of every linear equation in two variables need not be a line.
The graph given below represents the linear equation $x + y = 0.$
View full solution →Find the value of $k,$ if $x = 2, y = 1$ is a solution of the equation $2x + 3y =k.$
View full solution →Find whether $(1, 1)$ is the solution of the equation $x – 2y = 4$ or not.
View full solution →Find whether$(4, 0)$ is the solution of the equation $x – 2y = 4$ or not$?$
View full solution →Find whether $(2, 0)$ is the solution of the equation $x – 2y = 4$ or not$?$
View full solution →Express the linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in $5 = 2x.$
View full solution →Find whether $(\sqrt{2},4\sqrt{2})$ is the solution of the equation $x – 2y = 4$ or not?
View full solution →Find whether $(0, 2)$ is the solution of the equation $x – 2y = 4$ or not?
View full solution →Write four solutions of the equation: $x = 4y.$
View full solution →Write four solutions of the equation: $\pi x + y = 9$
View full solution →Write four solutions of the equation: $2x + y = 7$
View full solution →You know that the force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express this situation and plot the graph of the equation.
Draw the graph of x + y = 7
Sodium silicate is one of the constituents in liquid soap. The graph shows the amount of sodium silicate in liquid soap.
$5.$ How much sodium silicate (ml) is used for making $10$ L of soap?
A. $100$
B. $110$
C. $1000$
D. $10000$
6. Write an equation to show the relation between quantities of sodium silicate and liquid soap.
View full solution →$5.$ How much sodium silicate (ml) is used for making $10$ L of soap?
A. $100$
B. $110$
C. $1000$
D. $10000$
6. Write an equation to show the relation between quantities of sodium silicate and liquid soap.
4. The soap bottles are available in small and large sizes.
A carton with $10$ small and 40 large bottles weighs $10.8 kg$. What is the mass of the carton with $50$ large bottles?
View full solution →A carton with $10$ small and 40 large bottles weighs $10.8 kg$. What is the mass of the carton with $50$ large bottles?
A carton is checked randomly. Which of the following cannot be the number of fragrant and nonfragrant liquid bottles in the carton?
- A$(5, 45)$
- B$(15, 35)$
- C$(20, 30)$
- ✓$(30, 40)$
Answer: D.
View full solution →A carton contains both fragrant and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non$-$fragrant bottles in the carton.
View full solution →Write an equation representing the number of fragrant and non$-$fragrant bottles in the carton.
A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are illed in plastic bottles and packed in equal size cartons for transportation. Each carton contains $50$ bottles. The mass of a full bottle of soap is $220\ gm$ and that of a half$-$illed bottle is $120\ gm.$ What will be the mass $(gm)$ of the empty bottle$?$
- A$ 10$
- ✓$ 20$
- C$ 100$
- D$ 110$
Answer: B.
View full solution →Generate a Linear Equations in Two Variables paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.