A rod of length l moves such that its ends A and B always lie on the l – InterviewSolution

1.	A rod of length l moves such that its ends A and B always lie on the lines 3x−y+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(ax−by−5)2+9(y+5)2. Then
Answer» A rod of length $l$ moves such that its ends $A$ and $B$ always lie on the lines $3 x - y + 5 = 0$ and $y + 5 = 0$ respectively. The locus of the point $P,$ which divides $A B$ internally in the ratio $2 : 1,$ is $l^{2} = \frac{1}{k} (a x - b y - 5)^{2} + 9 (y + 5)^{2} .$ Then

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