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

A variable line L is drawn through O (0,0) to meet the lines L 1 ​ :y−x−10=0 and L 2 ​ :y−x−20=0 at the points A and B respectively. A point P is taken on L such that OP 2 ​ = OA 1 ​ + OB 1 ​ and P,A,B lies on same side of origin O. The locus of P is

A

`(y-x)^(2)=80`

B

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

C

`(y-x)^(2)=64`

D

None of these

Text Solution

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The correct Answer is:
D
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