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Combination

If PSQ is a f...

Question

If PSQ is a focal chord of the ellipse $16 x^{2} + 25 y^{2} = 400$ such that SP = 8 then the length of SQ =

A

2

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B

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C

16

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D

25

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Solution

The correct option is A 2
$\frac{1}{S P} + \frac{1}{S Q} = \frac{2 a}{b^{2}}$
a= 5
b=4
Solving we get,
SQ=2.

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