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Q.

. If the locus of the midpoint of the line segment from the point -2,3 to a point on the circle x2+y22x2y2=0 is a circle of radius r, then r=
 

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a

2

b

4

c

1

d

3

answer is C.

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Detailed Solution

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A(2,   3),  B(1+2cosθ,  1+2sinθ) M(x,  y)=1+2cosθ2,  2+sinθcosθ=2x+12,   sinθ=y2 (x+12)2+(y2)2=1r=1. 

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