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

Relation between equation of ellipse and major-minor axis

Relation between equation of Hyperbola and major minor axis

Find the equation of the ellipse in each of the following cases: centre at (0,0) axes parallel to co-ordinate axes eccentricity is 1/sqrt2 and minor axis of length 5.

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

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?

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 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