Q.

The figure shows a uniform rod lying along the X-axis. The locus of all the points lying on the XY-plane, about which the moment of inertia of the rod is same as that about O is

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a

an ellipse

b

a circle

c

a parabola

d

a straight line

answer is B.

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Detailed Solution

If the axis passes through the point (x,y) , then m[x-l22+y2 ]+112ml2=13ml2  ⇒x-l22+y2=l22 , which represents a circle of radius l2 with its centre at  l2,0.
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