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A variable line L si drawn through O(0,0...

A variable line L si drawn through O(0,0) to meet lines `L_1 and L_2 " given by " y-x-10=0 and y-x-20=0` at point A and B, respectively.
Locus of P, if `OP^2=OAxxOB`, is

A

`(y-x)^2=200`

B

`(y+x)^2=50`

C

`(y-x)^2=64`

D

none of these

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The correct Answer is:
D
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