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The images 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 PR is

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a+b,b+a

a+b/2,b+a/2

a−b,b−a

0,0

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detailed solution

Correct option is D

The point Q is −b,−a and the point R is b,a. Therefore, the midpoint of PR is 0,0.

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The images of Pa,b on the line y=−x is Q and the image of Q on the line y=x is R. Then the midpoint of PR is

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Ready to Test Your Skills?

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The images 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 PR is