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Q.

Equation of the director circle of the hyperbola $\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$ is

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a

$x^{2} + y^{2} = 16$

b

$x^{2} + y^{2} = 18$

c

$x^{2} + y^{2} = 9$

d

$x^{2} + y^{2} = 25$

answer is D.

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Detailed Solution

$x^{2} + y^{2} = a^{2} - b^{2}$

$x^{2} + y^{2} = 25 - 9 = 16$

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