Product of length of perpendiculars drawn from foci on any tangent to hyperbola {x^2} - frac{{{y^2}}

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10-2. Parabola, Ellipse, Hyperbola

normal

Product of length of the perpendiculars drawn from foci on any tangent to hyperbola ${x^2} - \frac{{{y^2}}}{4}$ = $1$ is

A

$2$

B

$4$

C

$1$

D

$\frac {1}{2}$

Solution

Product of length of perpendiculars drawn from foci on any tangent to hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ is ${b^2}$.

Standard 11

Mathematics

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