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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 find the mid-point of P and R

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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CENGAGE PUBLICATION-COORDINATE SYSYEM -Exercises
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  13. Through point P(-1,4), two perpendicular lines are drawn which interse...

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

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  18. Consider three lines as follows. L1:5x-y+4=0 L2:3x-y+5=0 L3: x+y+8=0...

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