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Q.

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

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a

32

b

12

c

14

d

32

answer is B.

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Detailed Solution

C→c1  (1,1),r1=1

T→c2  (0,y),r2=y

c1c2=r1+r2⇒1+1−y2=1+y2

∴   y=14

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