Find the equations of the hyperbolas satisfying the following conditions: Foci at `(0+-sqrt(10))`, passing through (2,3).

In the following, find the equations of the hyperbola satisfying the given conditions.Foci (0,+-sqrt10) , passing through (2,3).

Find the equation of the ellipse satisfying the following condition : Foci at (+-3, 0) , passing through (4, 1).

Find the equation of the hyperbola satisfying the given condition : Foci (+-2,0), e=3/2 .

Find the equation of the hyperbola satisfying the following conditions : Vertices at (+-0, sqrt11/2) , foci at (0, +- 3) .

Find the equation of the parabola that satisfies the following condition : Vertex (0. 0), passing through (2, 3) and axis is along x-axis.

Find the equation of the hyperbola satisfying the given condition : Foci (0, +- 12) , conjugate axis is of length 24.

Find the equation of the hyperbola satisfying the given condition : Foci (+-4, 0) , latus rectum of length 12.

Find the equation of the hyperbola satisfying the given condition : Foci (0, +- 12) , latus rectum of length 36.