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  • How to solve this problem- If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is:

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is:

  • Option 1)

    2

  • Option 2)

     

    \frac{13}{12}

  • Option 3)

    \frac{13}{6}

  • Option 4)

    \frac{13}{8}

Answers (1)

best_answer

 

Conjugate axis -

The line through the centre and perpendicular to transverse axis.

- wherein

 

 

Coordinates of foci -

\left ( \pm \, ae ,o\right )

- wherein

For the Hyperbola

\frac{x^{2}}{a^{2}}- \frac {y^{2}}{b^{2}}= 1

2b=5

2ae=13

b^{2}=a^{2}(e^{2}-1)

a=6

e=\frac{13}{12}

 

 


Option 1)

2

Option 2)

 

\frac{13}{12}

Option 3)

\frac{13}{6}

Option 4)

\frac{13}{8}

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