Find the equation of the ellipse referred to its axes as the axes of co-ordinates :
whose latus-rectum is 5 and eccentricity `2/3`.

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose major axis = 8 and eccentricity = 1/2 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose major axis =6 and minor axis = 4 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose foci are (2, 0), (-2, 0) and latus-rectum is 6.

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : which passes through the points ( - 2, 1) and eccentricity = sqrt (2/5)

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : distance between foci is 5 and conjugate axis is 3.

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : conjugate axis is 5 and passes through the point (1, -2).

Find the equation of an ellipse whose axes lie along the coordinate axes, which passes through the point (-3,1) and has eccentricity equal to sqrt(2//5)dot

Find the equation of the ellipse refer to its centre whose minor axis is equal to distance between the foci and latus rectum is 10.

Find the equation of the plane whose intercepts on the axes are 3,4,5 respectively.

Find the equation of the ellipse whose focus is (1,-1), the corresponding directrix is x-y-3=0, and eccentricity is 1/2 .