A straight line PQ touches the ellipse x216+y29=1 and the circle x2+y2 – InterviewSolution

1.	A straight line PQ touches the ellipse x216+y29=1 and the circle x2+y2=r2 (3<r<4). RS is chord of the circle which is parallel to PQ and passes through any focus of ellipse, then the length of RS is equal to unit.
Answer» A straight line $P Q$ touches the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$ and the circle $x^{2} + y^{2} = r^{2} (3 < r < 4) .$ $R S$ is chord of the circle which is parallel to $P Q$ and passes through any focus of ellipse, then the length of $R S$ is equal to unit.

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