Assertion Reason Questions For Class 9 Maths Chapter 1 Orienting Yourself The Use Of Coordinates

Assertion Reason Questions for Class 9 Maths Chapter 1 Orienting Yourself: The Use of Coordinates are available in this Maths article. Assertion Reason Questions for Class 9 Maths Chapter 1 Orienting Yourself: The Use of Coordinates are very useful for understanding and solving problems from the chapter easily. This article helps students revise important concepts such as the Cartesian plane, x-axis and y-axis, origin, coordinates of points, quadrants, plotting points on the coordinate plane, and finding the distance between two points using the Baudhāyana–Pythagoras Theorem. These concepts help students understand how coordinates are used to locate positions and represent geometric ideas mathematically. Our subject experts have provided detailed solutions for these questions based on the CBSE syllabus and the NCERT textbook. This study material helps students strengthen their conceptual understanding, practise important question types, and perform well in examinations. A free downloadable PDF is also available for quick revision and practice.

Assertion and Reason Questions on Orienting Yourself - The Use of Coordinates for Class 9

Directions: In the following questions a statement of assertion (A) is followed by a statement of reason(R). Mark the correct choice as:

Choose the correct option for the following questions:

• (A). Both Assertion (A) and Reason (R) are true, and Reason is the correct explanation of Assertion.

• (B). Both Assertion (A) and Reason (R) are true, but Reason is not the correct explanation of Assertion.

• (C). Assertion (A) is true, but Reason (R) is false.

• (D). Assertion (A) is false, but Reason (R) is true.

Question 1:

Assertion (A): An ordered pair  (3,5) represents a point on the Cartesian plane.

Reason (R): The first number represents the x-coordinate and the second number represents the y-coordinate.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 2:

Assertion (A): The point  (0,4) lies on the y-axis.

Reason (R): Any point on the y-axis has x-coordinate equal to 0.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 3:

Assertion (A): The point ((5,0)) lies on the x-axis.

Reason (R): Any point on the x-axis has y-coordinate equal to 0.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 4:

Assertion (A): The origin of the Cartesian plane is represented by ((0,0)).

Reason (R): The origin is the point where the x-axis and y-axis intersect.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 5:

Assertion (A): The point ((-3,4)) lies in the second quadrant.

Reason (R): In the second quadrant, x-coordinate is negative and y-coordinate is positive.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 6:

Assertion (A): The point ((-5,-2)) lies in the third quadrant.

Reason (R): In the third quadrant, both coordinates are negative.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 7

Assertion (A): The point ((4,-7)) lies in the fourth quadrant.

Reason (R): In the fourth quadrant, x-coordinate is positive and y-coordinate is negative.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 8

Assertion (A): The coordinates of a point can be written in any order.

Reason (R): The ordered pair ((x,y)) and ((y,x)) represent different points in most cases.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (D). A is false, but R is true.

Question 9

Assertion (A): A point lying on the y-axis cannot have a positive x-coordinate.

Reason (R): Every point on the y-axis has x-coordinate equal to zero.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 10

Assertion (A): The point ((2,3)) and ((3,2)) represent the same point.

Reason (R): Changing the order of coordinates changes the position of the point.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (D). A is false, but R is true.

Question 11

Assertion (A): The x-coordinate of every point on the x-axis is zero.

Reason (R): Points on the x-axis have y-coordinate equal to zero.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (D). A is false, but R is true.

Question 12

Assertion (A): The point ((0,-8)) lies on the y-axis.

Reason (R): If the x-coordinate of a point is zero, the point lies on the y-axis.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Download free PDF of Assertion and Reasoning Questions for Class 9 Maths Chapter 1 - Orienting Yourself - The Use of Coordinates

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Assertion and Reason Questions on Orienting Yourself - The Use of Coordinates for Class 9