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Standard XII

Mathematics

Double Ordinate of Hyperbola

If AB is a do...

Question

If AB is a double ordinate of the hyperbola such that ∆ OAB (O is the origin) is an equilateral triangle, then the eccentricity e of the hyperbola satisfies

e > \sqrt{3}

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1 < e < 2 \sqrt{3}

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e = \frac{2}{\sqrt{3}}

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e > \frac{2}{\sqrt{3}}

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Solution

The correct option is D $e > \frac{2}{\sqrt{3}}$

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If AB is a double ordinate of the hyperbola such that ∆ OAB (O is the origin) is an equilateral triangle, then the eccentricity e of the hyperbola satisfies

The correct option is D e>2√3

The correct option is D $e > \frac{2}{\sqrt{3}}$