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A variable line L drawn through O(0,0) t...

A variable line L drawn through O(0,0) to meet line l1: y-x-10=0 and L2:y-x-20=0 at the point A and B respectively then locus of point p is ' such that `(OP)^(2) = OA . OB, `

A

`(y-x)^(2)=25`

B

`(y-x)^(2)=50`

C

`(y-x)^(2)=100`

D

`(y-x)^(2)=200`

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