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Question

A rod of length l moves such that its ends A and B always lie on the lines 3xy+5=0 and y+5=0 respectively. The locus of the point P, which divides AB internally in the ratio 2:1, is l2=1k(axby5)2+9(y+5)2. Then

A
k=4, a+b=6
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B
k=3, a+b=5
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C
k=4, a+b=0
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D
k=3, a+b=4
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