A geometry problem by A Former Brilliant Member

Geometry Level 3

Find the eccentricity of the hyperbola in the standard form, the length of whoses conjugate axis is 3 4 \frac{3}{4} of the transverse axis.


The answer is 1.25.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Ronak Agarwal
Jun 20, 2014

b / a = 3 / 4. A n d e = 1 + ( b a ) 2 . P u t t i n g v a l u e s w e g e t e = 5 / 4. b/a=3/4.\quad And\quad e=\sqrt { 1+{ (\frac { b }{ a } })^{ 2 } } .Putting\quad values\\ we\quad get\quad e=5/4.

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