Equation x = a , y = b (a > b) represent a conic section whose ec… - Vidyadip

MCQ

Equation x = a $\cos \theta$, y = b $\sin \theta$ (a > b) represent a conic section whose eccentricity e is given by

A
$e^2=\frac{a^2+b^2}{a^2}$
B
$e^2=\frac{a^2+b^2}{b^2}$
✓
$e ^2=\frac{ a ^2- b ^2}{ a ^2}$
D
$e^2=\frac{a^2-b^2}{b^2}$

✓

Answer

Correct option: C.

$e ^2=\frac{ a ^2- b ^2}{ a ^2}$

C

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