If the locus of the mid-point of the line segment from the point (3,2) to a point on the circle, x2+y2=1 is a circle of radius r , then r is equal to

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answer is C.

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Detailed Solution

Point on circle =(cosθ,sinθ)=p Let Q=(3,2) Mid point of PQ=cosθ+32,sinθ+22=(x,y) ⇒(2x-3)2+(2y-2)2=1 ⇒x-322+(y-1)2=1/4 Radius =1/2

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