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Q.

Equation of the director circle of the hyperbola $4 x^{2} = 6 y^{2} + 24$ is $x^{2} + y^{2} = k$ then the value of k is

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answer is 2.

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Detailed Solution

$For the given hyperbola a^{2} = 6, b^{2} = 4 Director circle is x^{2} + y^{2} = a^{2} - b^{2} \Rightarrow x^{2} + y^{2} = 2 B y c o m p a r i s i o n k = 2$

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