The equation of the ellipse with its axes as the coordinate axes respectively and whose major axis =6 and minor axis =4 is

The equation of the ellipse with its axes as the coordinate axes respectively and whose minor axis =6 and eccentricity= 1/2 is

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : (i) whose major axis = 6 and minor axis = 4 (ii) Which passes through the point (-3, 1) and has eccentricity = sqrt((2)/(5)) (iii) whose foci are (2,0) , (-2,0) and latus -rectum is 6.

The differential equation of the family of ellipses having major and minor axes respectively along the x and y-axes and minor axis is equal to half of the major axis, is

The equation of the ellipse whose axes along the coordinate axes, vertices are (0 ,+- 10) and eccentricity e=(4)/(5), is

The equation of the ellipse , with axes parallel to the coordinates axes , whose eccentricity is (1)/(3) and foci at (2,-2) and (2,4) is

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

Find the equation of the ellipse whose axes are along the coordinate axes,vertices are (0,+-10) and eccentricity e=4/5

Find the equation if the ellipse whose axes are along the coordinate axes,vertices are (+-5,0) and foci at (+-4,-0)

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (+-3,0) ends of minor axis (0,+-2)