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The image of P(a,b) in the line y=−x is ...

The image of P(a,b) in the line y=−x is Q and the image of Q in the line y=x is R. Then the midpoint of PR is

A

`(a+b,b+a)`

B

`((a+b)//2,(b+2)//2)`

C

`(a-b,b-a)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
The point Q is `(-b,-a)` and the point R is `(-a,-b)`. Therefore , the midpoint of PR is `(0,0)`.
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