Relation between all the terms of ellipse and major- minor axis when axis is not parallel to co ordinate axes

Ellipse with axis not parallel to coordinate axis

Relation between equation of Hyperbola and major minor axis

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

Determine all terms (vertex; minor axis; major axis; focii; latus rectum centre; ordinate; double ordinate for ellipse with axis parallel to coordinate axis?

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

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