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The line AB cuts of equal intercepts 2a ...

The line AB cuts of equal intercepts 2a from the axes . From any point P on the line AB perpendicular PR and PS are drawn on the axes . Locus of midpoint 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)`

Text Solution

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The correct Answer is:
B
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