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`

Explanation

To find the radius of circle T, we can follow these steps:

### Step 1: Understand the problem
Circle C is centered at (1, 1) with a radius of 1. Circle T is centered at (0, y), passes through the origin (0, 0), and touches circle C externally.

### Step 2: Define the radius of circle T
Since circle T is centered at (0, y) and passes through the origin, the radius of circle T (let's denote it as r_T) is equal to the distance from the center (0, y) to the origin (0, 0). Therefore, the radius of circle T is:
\[ r_T = y \]
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