Find the equation of the ellipse whose centre is at origin, the distance between foci is 2 and eccentricity is `(1)/(sqrt(2))`.

Find the equation of the ellipse whose centre is at the origin, foci are (1,0)a n d(-1,0) and eccentricity is 1/2.

Find the equation of the ellipse whose centre is at the origin,foci are (1,0) and (-1,0) and eccentricity is 1/2 .

Find the equation of a hyperbola whose vertices lie on y-axis, centre is at the origin, the distance between the foci is 16 and eccentricity is sqrt2 .

Find th equation of the hyperbola eccentricity is 2 and the distance between foci 16.

Find th equation of the hyperbola eccentricity is 2 and the distance between foci 16.

Find the equation of the hyperbola referred to its principal axes : whose distance between foci is 10 and eccentricity is 5/2

Find the equation of the ellipse whose centre is the origin, major axis 9/2 and eccentricity 1/sqrt(3) where the major axis is the horizontal axis.

The equation of standard ellipse whose eccentricity is 1/2 and distance between the foci is 9, is

Equation of a hyperbola such that the distance between the foci is 16 and eccentricity is sqrt(2) is

Find the differential equation of all ellipses whose centre is origin and foci is on the x-axis.