Eccentricity of the conic 16 x^2 + 7 y^2 = 112 is - Vidyadip

MCQ

Eccentricity of the conic $16{x^2} + 7{y^2} = 112$ is

A
$3\over \sqrt 7 $
B
$7\over{16}$
✓
$3\over4$
D
$4\over3$

✓

Answer

Correct option: C.

$3\over4$

c
(c) $\frac{{{x^2}}}{{\frac{{112}}{{16}}}} + \frac{{{y^2}}}{{\frac{{112}}{7}}} = 1$.

Therefore, $e = \sqrt {1 - \frac{{112}}{{16}}.\frac{7}{{112}}} = \frac{3}{4}$.

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