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The line AB cuts off intercepts 2a from ...

The line AB cuts off intercepts 2a from the axes. From any point. P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid - point of RS is

A

`x-y=(a)/(2)`

B

`x+y=a`

C

`x^(2)+y^(2)=4a^(2)`

D

`x^(2)-y^(2)=2a^(2)`

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