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

Discussion Forum : Circles

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 .

\sqrt{2} r

B .

2 r

C .

\frac{2 r}{2 - \sqrt{3}}

D .

\frac{4 r}{3 - \sqrt{5}}

Answer: Option B
:
B

Tangents Are Drawn From Any Point On The Circle X2+y2=R2 To ...

Δ A B C

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

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