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Find the equations of the hyperbola sati...

Find the equations of the hyperbola satisfying the given conditions :Foci `(+-3sqrt(5),0)`, the latus rectum is of length 8.

Text Solution

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Here foci are on the x-axis
Therefore, the equation of the hyperbola is of the form `(x^2)/(a^2)-(y^2)/(b^2)=1`
since the foci are `(+-3sqrt5,0)=>ae=c=+-3sqrt5`
Length of latus rectum`=8`
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