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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.
A point P IS taken on L such that `2//OP=1//OA+1//OB`. Then the locus of P is

A

`3x+3y=40`

B

`3x+3y+40=0`

C

`3x-3y=40`

D

`3y-3x=40`

Text Solution

Verified by Experts

The correct Answer is:
D
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