Assertion : The point on the X -axis which if equidistant from the points A(- 2, 3) and B(5, 4) is (2, 0)Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(1 , 1 ) and B(2 , 2) in the ratio 1 : 2 is (12+21/1+2, 12+21/1+2) * Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Assertion (A) is false but reason (R) is true.
Answers
Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
The assertion (A) states that the point on the X-axis which is equidistant from the points A(-2, 3) and B(5, 4) is (2, 0) is true. The point (2, 0) is equidistant from the points A and B as it is equidistant from the two points on a Cartesian plane.
The reason (R) states that the coordinates of the point P(x, y) which divides the line segment joining the points A(1 , 1 ) and B(2 , 2) in the ratio 1 : 2 is (12+21/1+2, 12+21/1+2) is also true. This is a mathematical formula to calculate the coordinates of a point which divides a line segment in a given ratio.
However, the reason (R) is not the correct explanation of assertion (A) as the question is about finding a point equidistant from two given points and the reason is providing formula to find the point which divides a line segment in a given ratio.
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