If the foci of an ellipse are `(0,+-1)` and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.

The foci of an ellipse are (+- 2,0) and its eccentricity is 1/2 then the equation is

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

Find the equation of the ellipse whose vertices are (+-13,0) and foci are (+-5,0)

If the distance between the foci is 2 and the distance between the directrices is 5 , then the equation of the ellipse is

Find the equation of the ellipse whose length of minor axis is 16 and foci are (0, +- 6) .

An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (a) equation of ellipse is x^2+ 2y^2 =2 (b) the foci of ellipse are (+-1, 0) (c) equation of ellipse is (x^2 +2y=4) (d) the foci of ellipse are (+-2, 0)

Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0,+-5)

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If phi is the angle between the CP and the normal at point P on the ellipse, and the greatest value tan phi is 3/4 (where C is the centre of the ellipse). Also semi-major axis is 10 units . A rectangle is inscribed in a ellipse whose sides are parallel to the coordinate axes, then the maximum area of rectangle is

S and T are the foci of an ellipse and B is an end point of the minor axis . IF /_\STB is equilateral then e =