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# If two tangents are drawn from a point on the circle $x^2+y^2=36$ to the circle $x^2+y^2=18$ then find the angle between the tangents.

$\begin{array}{1 1}(a)\;45^{\large\circ}&(b)\;90^{\large\circ}\\(c)\;35^{\large\circ}&(d)\;120^{\large\circ}\end{array}$

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## 1 Answer

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• Angle between the tangents drawn from a point on the director circle of a given circle is $90^{\circ}$.
$x^2+y^2=36$ is the director circle of $x^2+y^2=18$
Hence the angle between the tangents drawn from any point on
the circle $x^2+y^2=36$ is $90^{\large\circ}$
Hence (b) is the correct answer.
answered Feb 11, 2014
edited Mar 27, 2014

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