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Question

A variable line L is drawn through O (0,0) to meet the lines L1:yx10=0 and L2:yx20=0 at the points A and B respectively. A point P is taken on L such that 2OP=1OA+1OB and P,A,B lies on same side of origin O. The locus of P is

A
3x+3y=40
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B
3x+3y+40=0
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C
3x3y=40
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D
3y3x=40
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