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Terminologies Related to a Hyperbola

The equation ...

Question

The equation of the transverse and conjugate axis of the hyperbola $16 x^{2} - y^{2} + 64 x + 4 y + 44 = 0$ are

A

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B

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C

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D

None of these

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Solution

The correct option is C

$(4 x + 8)^{2} - (y - 2)^{2} = - 44 + 64 - 4$
$\Rightarrow \frac{16 (x + 2)^{2}}{16} - \frac{(y - 2)^{2}}{16} = 1$

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Terminologies Related to a Hyperbola

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