Question

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) `(sqrt(3))/(sqrt(2))` (2) `(sqrt(3))/2` (3) `1/2` (3) `1/4`
A. `(sqrt(3))/(sqrt(2))`
B. `(sqrt(3))/(2)`
C. `(1)/(2)`
D. `(1)/(4)`

Answer 1

Correct Answer - 4

According to the figure,
`(1+y)^(2)+(1-y)^(2)+1(ygt0)`
`implies y =(1)/(4)`