Given circle x2+y2=1
General coordinate on a given circle is (cosθ,sinθ).
Given, h=2cosθ+3⇒cosθ=2(h−23)...(i)
k=2sinθ+2⇒sinθ=2(k−1)...(ii)
Square (i)&(ii)then add we get,
(h−23)2+(k−1)2=(21)2
⇒r=21

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
Held on 26 Feb 2021 · Verified 6 Jul 2026.
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