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Q.

Product of the lengths of the perpendiculars drawn from foci on any tangent to the hyperbola $x^{2} / a^{2} - y^{2} / b^{2} = 1$ is

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a

$a^{2}$

b

$b^{2}$

c

$\frac{1}{2} b^{2}$

d

$\frac{1}{2} a^{2}$

answer is B.

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Detailed Solution

Product of perpendicular distances from focii to any tangent of hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1 is b^{2}$

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Product of the lengths of the perpendiculars drawn from foci on any tangent to the hyperbola x2/a2−y2/b2=1 is