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  • I have a doubt, kindly clarify. If latus rectum of the hyperbola is half of its transverse axis, then its eccentricity is

If latus rectum of the hyperbola is half of its transverse axis, then its eccentricity is

  • Option 1)

    3/2

  • Option 2)

    \frac{\sqrt{3}}{2}

  • Option 3)

    \sqrt{\frac{3}{2}}

  • Option 4)

    none of these

 

Answers (1)

best_answer

\frac{2b^{2}}{a}=\frac{2b}{2}

\Rightarrow 2b=a

Also, b^{2}-a^{2} (e^{2}-1)

\Rightarrow \frac{1}{4} = e^{2}-1

\Rightarrow e^{2}=\frac{5}{4}\Rightarrow e\frac{\sqrt{5}}{2}


Option 1)

3/2

This solution is incorrect

Option 2)

\frac{\sqrt{3}}{2}

This solution is incorrect

Option 3)

\sqrt{\frac{3}{2}}

This solution is incorrect

Option 4)

none of these

This solution is correct

Posted by

Aadil

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