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

Find the equation of the ellipse satisfying the given condition : Axes along co-ordinate axes, passing through (4, 3) and (- 1, 4).

Find the equation of the ellipse satisfying the following conditions : Vertices at (pm13,0) , foci at (pm5.0) .

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 family of lines satisfying the following condition : passing through the origin .

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

Find the equation for the elllipse that satisfy the given conditions: Foci(pm3,0) , a=4. .

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

Find the equation of the ellipse satisfying the given condition : Vertices (+- 6,0) , foci (+- 4, 0) .

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