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

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- 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.

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