Let C be the circle with center at (1,1) and radius 1. If T is the circle centered at (0,y) passing through origin and touching the circle C externally, then the radius of T is equal to
Solution : Let coordinates of the center of T be (0, k). Distance between their center is k + 1 = \(\sqrt{1 + (k – 1)^2}\) where k is radius of circle T and 1 is radius of circle C, so sum of these is distance between their centers. \(\implies\) k + 1 = \(\sqrt{k^2 + […]