Assertion and Reason for Ch 3 Coordinate Geometry Class 9 Math
Important QuestionsA
Directions : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Answer
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
1
Assertion (A): The points (-3, 5) and (5, -3), are at different positions in the coordinate plane.
Reason (R): If x ≠ y, then (x, y) ≠ (y, x)
Reason (R): If x ≠ y, then (x, y) ≠ (y, x)
Answer
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(-3, 5) and (5, -3) are different points as (-3, 5) lies in II quadrant and (5, -3) lies in IV quadrant. Also, abscissas and ordinates of both points are different.
2
Assertion (A): The point (-5, 0) lies on y – axis and (0, -4) on x – axis.
Reason (R): Every point on the x – axis has zero distance from x – axis and every point on the y – axis has zero distance from y – axis.
Reason (R): Every point on the x – axis has zero distance from x – axis and every point on the y – axis has zero distance from y – axis.
Answer
(d) Assertion is false but reason is true.
(-5, 0) lies on x – axis where as (0, -4) lies on y – axis. Every point on x – axis has zero distance from x – axis and every point of y – axis has zero distance form y – axis .