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`.

Verified by Experts

The correct Answer is:

`(x^(2))/(25)-(y^(2))/(20)=1`

Similar Questions

Explore conceptually related problems

Find the equations of the hyperbola satisfying the given conditions. Foci (+-4,0) , the latus rectum is of length 12 .

Find the equations of the hyperbola satisfying the given conditions. Foci (+-5,0) , the transverse axis is of length 8 .

Find the equations of the hyperbola satisfying the given conditions. Foci (0,+-13) , the conjugate axis is of length 24 .

Find the equations of the hyperbola satisfying the given conditions. Foci (0,+-sqrt(10)) , passing through (2,3)

Find the equations of the hyperbola satisfying the given conditions. Vertices (+-7,0) , e=(4)/(3) .

Find the equations of the hyperbola satisfying the given conditions. Vertices (+-2,0) , foci (+-3,0)

Find the equations of the hyperbola satisfying the given conditions. Vertices (0,+-5) , foci (0,+-8)

Find the equations of the hyperbola satisfying the given conditions. Vertices (0,+-3) , foci (0,+-5)

Find the equation fot the ellipse that satisfies the given conditions : Foci (+-3,0), a=4

Find the equation of the parabola that satisfies the given conditions : Focus (0,-3) , directrix y=3