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

The image of `P(a ,b)` on the line `y=-x` is `Q` and the image of `Q` on the line `y=x` is `R` . Then the midpoint of `P R` is `(a+b ,b+a)` `((a+b)/2,(b+2)/2)` `(a-b ,b-a)` (d) `(0,0)`

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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