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Write the equation of the hyperbola whos...

Write the equation of the hyperbola whose vertices are `(+-3,0)` and foci at `(+-5,0)`

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We have given `a=3` and `ae=5impliese=5/3`
Using `e^2=1+ b^2/a^2`
`25/9=1+b^2/9`
`impliesb^2=16`
Therefore required hyperbola is, `x^2/9−y^2/16=1`
`implies16x^2−9y^2=144`
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