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Maths-

General

Easy

Question

If $alpha$ and $beta$ are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is

$\frac{c o s α + c o s β}{c o s (α - β)}$
$\frac{s i n α - s i n β}{s i n (α - β)}$
$\frac{c o s α - c o s β}{c o s (α - β)}$
$\frac{s i n α + s i n β}{s i n (α + β)}$

The correct answer is: $fraction numerator blank s i n blank alpha plus blank s i n blank beta over denominator blank s i n blank left parenthesis alpha plus beta right parenthesis end fraction$

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