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The point which lies on the perpendicula...

The point which lies on the perpendicular bisector of the line segment joining the points A(-2,-5) and B (2,5) is

A

(0,0)

B

(0,2)

C

(2,0)

D

(-2,0)

Text Solution

Verified by Experts

The correct Answer is:
A
We know that , the perpendicular bisector of the any line segment divides the line segment into two equal parts i.e., the perpendicular bisector of the line segment always passes through the segment joining the points A(-2,-5) and B(2,5)
`=((-2+2)/(2),(-5+5)/(2))=(0,0)`
Hence , (0,0) is the required point lies on the perpendicular bisector of the lines segment .
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