Tangents are drawn from any point on the circle x2+y2=R2 to the circle x2+y2=r2.

Question

Tangents are drawn from any point on the circle

x^{2} + y^{2} = R^{2}

to the circle

x^{2} + y^{2} = r^{2}

. If the line joining the points of intersection of these tangents with the first circle also touch the second, then R equals

Options:

A . √2r

B . 2r

C . 2r2−√3

D . 4r3−√5

Answer: Option B
:
B

Δ A B C

is equilateral
Circum radius = 2 (in radius)
R = 2r

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