In a hyperbola the latusrectum equals to semitransverse axis,then its eccentricity is

3/2

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4/3

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5/2

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Solution

The correct option is D

$\frac{2 b^{2}}{a}$ = a $\Rightarrow$ $\frac{b^{2}}{a^{2}}$ = $\frac{1}{2}$

e = $\sqrt{1 + \frac{b^{2}}{a^{2}}}$ = $\sqrt{1 + \frac{1}{2}}$ = $\sqrt{\frac{3}{2}}$

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In a hyperbola the latusrectum equals to semitransverse axis,then its eccentricity is

The correct option is D 2b2a = a ⇒ b2a2 = 12 e = √1+b2a2 = √1+12 = √32

The correct option is D

$\frac{2 b^{2}}{a}$ = a $\Rightarrow$ $\frac{b^{2}}{a^{2}}$ = $\frac{1}{2}$

e = $\sqrt{1 + \frac{b^{2}}{a^{2}}}$ = $\sqrt{1 + \frac{1}{2}}$ = $\sqrt{\frac{3}{2}}$