Assertion : The point (-2, 0) lies on y -axis and (0, 4) on x -axis. Reason : 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. * 1 point (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.
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Assertion : The point (-2, 0) lies on y -axis and (0, 4) on x -axis.
Reason : 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.
So,
Option d is correct:
Assertion (A) is false but reason (R) is true.
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Answer:
(d) Assertion (A) is false but reason (R) is true
Explanation:
Assertion :
- The point (-2, 0) lies on y -axis and (0, 4) on x -axis.
- We know that the if the point lies on y-axis, its x-coordinate is 0. But here (-2,0) lie on y - axis but Its x- not coordinate is zero. So, Assertion (A) is false.
Reason :
- 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.
- Since every point on the x - axis has no distance (zero distance) from the x - axis, therefore, the y - coordinate of every point lying on the x - axis is always zero. Thus, the coordinates of any point on the x - axis are of the form (x, 0), where x is the distance of the point from the y - axis.
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