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Equation of Tangent at a Point (x,y) in Terms of f'(x)

If the minor ...

Question

If the minor axis of an ellipse forms an equilateral triangle with one vertex of the ellipse then e =

A

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B

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C

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D

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Solution

The correct option is B

$t a n 30^{\circ} = \frac{b}{a}$
$\frac{b^{2}}{a^{2}} = 1 - e^{2}$
$\frac{1}{3} = 1 - e^{2}$
$e = \sqrt{\frac{2}{3}}$

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