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Focal Chord of Ellipse

PSP' is a foc...

Question

PSP’ is a focal chord of the ellipse $16 x^{2} + 25 y^{2} = 400.$ If SP = 8 then SP’ =

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Solution

The correct option is B
$\frac{1}{S P} + \frac{1}{S P^{'}} = \frac{2}{l} \Rightarrow \frac{1}{8} + \frac{1}{S P^{'}} = \frac{10}{16} \Rightarrow S P^{'} = 2$

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16 x^{2} + 25 y^{2} = 400.

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