If $(a - 2) x^{2} + 9 y^{2} = 4$ represent rectangular hyperbola than $a$ equals.

0

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2

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9

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None of these

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Solution

The correct option is D None of these

In case of rectangular hyperbola $b = a$ i.e.lenghh of transverse axis =length of conjugate axis.
$∴ 9 y^{2} + (a - 2) x^{2} = 4$ represents rectangular hyperbola then $a - 2 = - 9$
$∴ a = - 7$
Hence choice (d) is correct answer.

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