Various result of Ellipse :- Vertices; major and minor axis ; focii directrix and center

Relation between equation of ellipse and major-minor axis

If P_(1) and P_(2) are the lengths of the perpendiculars from any points on an ellipse to the major and minor axis and if a and b are lengths of semi-major and semi-minor axis respectively,then

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 order of the differential equation of ellipse whose major and minor axes are along x-axis and y-axis respectively,is

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

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

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

PQ is a chord of the ellipse through the centre. If the square of its length is the harmonic mean ofthe squares of lengths major and minor axes then its inclination with the major axis is

If the major axis of an ellipse lies on the Y-axis,its minor axis lies on the X-axis and the length of its latus rectum is equal to (2)/(3) of its minor axis,then the eccentricity of that ellipse is