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

Step-by-step solution

Given circle x 2 + y 2 = 1 General coordinate on a given circle is cos θ ,   sin θ .   Given, h = cos θ + 3 2 ⇒ cos θ = 2 h - 3 2     . . . i k = sin θ + 2 2 ⇒ sin θ = 2 k - 1     . . . i i Square i   &   i i   then add we get, h - 3 2 2 + k - 1 2 = 1 2 2 ⇒ r = 1 2