Gujarati
10-2. Parabola, Ellipse, Hyperbola
medium

The eccentricity of a hyperbola passing through the points $(3, 0)$, $(3\sqrt 2 ,\;2)$ will be

A

$\sqrt {13} $

B

$\frac{{\sqrt {13} }}{3}$

C

$\frac{{\sqrt {13} }}{4}$

D

$\frac{{\sqrt {13} }}{2}$

Solution

(b) $\frac{9}{{{a^2}}} = 1$

==> $a = 3$ and $\frac{{18}}{{{a^2}}} – \frac{4}{{{b^2}}} = 1$

==> ${b^2} = 4$

Therefore, $e = \sqrt {1 + \frac{4}{9}} = \frac{{\sqrt {13} }}{3}$.

Standard 11
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.