Find a parametric equation for the ellipse x2a2 + y 2b2 = 1.

Find an equation for the tangent to the ellipse (x2/4) + y2 = 2 at the point (−2, 1).

Find the area of the largest rectangle that can be inscribed in the ellipse x2a2 + y2b2 = 1.

The eccentric angles of the extremities of latus rectum of the ellipse a 2 x 2 ​ + b 2 y 2 ​ =1 are given by:

The area enclosed by the curve x2a2 + y2b2 = 1 is equal to

Find the equation of the ellipse with the centre (3,1) ,vertex (3,-2) and passing through (8,0)