Find the equation of the ellipse passing through (6, 4), foci on y-axis, centre at the origin and having eccentricity `3/4`.

Find the equation of the ellipse passing through (4, 1) with focus as (+- 3, 0)

Write the equation of the circle passing through (3,4) and touching y-axis at the origin.

Find the equations of the circles passing through two points on y-axis at distance 3 from the origin and having radius 5.

Find the equation of an ellipse with its foci on y-axis, eccentricity 3/4 , centre at the origin and passing through (6,4).

Find the equation of the ellipse passing through the point (3, 2), having centre at (0,0) and major axis on y-axis.

Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.

Find the equation of the ellipse in the following case: Foci (+-3,0),\ a=4

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 circle passing through the origin, having its centre on the line x+y=4 and intersecting the circle x^2+y^2-4x+2y+4=0 orthogonally.

Find the equation of the ellipse whose foci are (4,0) and (-4,0), eccentricity =1/3.