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

JEE Main 2014 Mathematics question

Let C be the circle with centre at and radius . If T is the circle centred at , passing through origin and touching the circle C externally, then the radius of T is equal to

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

T passes through the origin, so its radius is y. External contact: $ = + ⇒

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Question ID VK-008708