The equation of the hyperbola with centre at (0, 0) and co-ordinate axes as its axes, distance between the directrices being `(4)/(sqrt(3))` and passing through the point (2, 1), is

The equation of the hyperbola with centre (0,0), distance between the foci is 18 and the distance between the directrices is 8 is

The equation to hyperbola whose centre is (0,0) distance between the foci is 18 and distance between the directrices is 8 is

Find the equation of the hyperbola, whose axes are axes of coordinates and distances between the foci and directrices are 4sqrt(7) and (16)/(sqrt(7)) respectively.

If centre (1, 2), axes are parallel to co-ordinate axes, distance between the foci 8, e = (1)/sqrt(2) then equation of the ellipse is

If centre (1, 2), axes are parallel to co-ordinate axes, distance between the foci 8, e = (1)/sqrt(2) then equation of the ellipse is

Find the equation of the ellipse in each of the following cases: centre at (0,0) axes parallel to co-ordinate axes eccentricity is sqrt3/2 and the ellipse passing through the point (sqrt3,1/2).

The equation of hyperbola referred to its axes as axes of coordinate whose distance between the foci is 20 and eccentricity equals sqrt2 is

Find the equation of ellipse in standard form if,: Distance between directrices is 10 and passes through the point (-sqrt5,2)

The equation of a hyperbola with co-ordinate axes as principal axes, and the distances of one of its vertices from the foci are 3 and 1 can be