The equation of the chord of $x^{2} - y^{2} = 9$ which is bisected at $(5, - 3)$ is

5 x + 3 y - 16 = 0

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2 x - 3 y - 19 = 0

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3 x + 5 y = 0

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none of these

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Solution

The correct option is A $5 x + 3 y - 16 = 0$
The required equation is $T = S^{'}$
(i.e) $5 x + 3 y - 9 = 25 - 9 - 9$
or $5 x + 3 y - 16 = 0$
Hence, option 'A' is correct.

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