question_answer

Let C be the circle with centre 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

A)  \[\frac{1}{2}\]                         

B)  \[\frac{\sqrt{3}}{\sqrt{2}}\]

C)  \[\frac{\sqrt{3}}{2}\]                            

D)  \[\frac{1}{4}\]

E)  None of these