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Question

The ends of a rod of length l move on two mutually perpendicular lines. The locus of the point on the rod 

which divides it in the ratio 1 : 2 is



Your Answer
A

Your Answer
B

Correct Answer
C

Your Answer
D

None of these


Solution

The correct option is C


According to the figure

P(h,k) divides AB in the ratio 1:2 (2a3,b3)=(h,k)a=3h2,  b=3ka2+b2=l2  9h24+9k2=l29h2+36k2=4l2 locus of P IS 9x2+36y2=4l2

 

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