Download App

Linear Equations In Two Variables — Maths STD 9 — Question

CBSE BoardEnglish MediumSTD 9MathsLinear Equations In Two Variables1 Mark
MCQ
Statement-1 (A): Every point on $y$-axis represents a solution of the equation $x=0$. Statement-2 (R): Points on $y$-axis are of the form (0, k), where k is a variable.
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement-1 is False, Statement-2 is True.
✓

Answer

Correct option: A.
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
(a)
The y-coordinate of every point on x-axis is zero. So, points on x-axis are of the form (k, 0), where k is a variable. Thus, statement-2 is true.
For any point on x-axis, we have x = k and y = 0. These values of x and y satisfy the equation $0 x+1 . y = 0$ i.e. $y=0$. Hence, every point on x-axis represents a solution of the equation y = 0. So, statement-1 is true. Also, statement-2 is a correct explanation for statement-1.
Hence, option (a) is correct.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Assertion (A) & Reason (B) MCQ" from Linear Equations In Two Variables→Linear Equations In Two Variables — all question types→Maths STD 9 question papers→CBSE Board STD 9 question papers→CBSE Board question paper generator→

Similar questions

Statement-1 (A): If $f(x+2)=2 x^2+x-3$ is divided by $(x-1)$, the remainder is 2.
Statement-2 $(R)$ : If $f(x)$ is divided by $(2-3 x)$, the remainder is $f(2 / 3)$.
→
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 $2$.
→
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 diagonals of a parallelogram $ABCD$ are equal, then $\angle\text{ABC}=90^\circ$.
Reason: If the diagonals of a parallelogram are equal, it becomes a rectangle.
→
Statement-1 (A): $\sqrt{2}$ is an irrational number.
Statement-2 (R): The decimal expansion of $\sqrt{2}$ is non-terminating non-recurring.
→
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 arms form an angle of $90$ degrees between them, it is called a right angle.
Reason: Two angles whose sum is equal to $90$ degrees are called supplementary angles.
→
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: Equal arcs on a circle cannot be said as a major arc or a minor arc.
Reason: If a circle is divided into three equal arcs, each is a major arc
→
Statement-1 (A): If the side of a rhombus is 10 cm and one diagonal is 16 cm , the area of the rhombus is $96 cm^2$.
Statement-2 (R): The base and the corresponding altitude of a parallelogram are 10 cm ans 3.5 cm respectively. The area of the parallelogram is $30 cm^2$.
→
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: Equiangular means equal angles.
Reason: All isosceles triangle are equilangular.
→
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 $x ≠ y$, then the position of $(x, y)$ in the Cartesian plane is different from the position of $(y, x)$.
Reason: A point is in the $1$st quadrant, then the point will be in the form $(+, +)$.
→
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 median of the following observation $0, 1, 2, 3, x , x + 2, 8, 9, 11, 12$ arranged in ascending order is $63,$ then the value of $x$ is $62.$
Reason: Median of n even observations is $\frac{\big(\frac{\text{n}}{2}\big)^{\text{th}}\text{term}+\Big(\frac{\text{n}}{2}+1\Big)^{\text{th}}\text{term}}{2}$
→