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Circumference of Circle

A straight li...

Question

A straight line $P Q$ touches the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ and the circle $x^{2} + y^{2} = r^{2} (b < r < a)$ . $R S$ is a focal chord of the ellipse. If $R^{'} S^{'}$ is parallel to $P Q$ and meets the circle at points $R$ and $S$ . Find the length of $R S$ .

2 a

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\frac{2 a}{3}

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2 b

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\frac{2 b}{3}

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Solution

The correct option is C $2 b$

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