Relation between equation of Hyperbola and major minor axis when axis is not parallel to co ordinate axes

Relation between equation of ellipse and major-minor axis

The differential equation of the family of ellipses having centres along the line y = 4 and major and minor axes parallel to the coordinate axes is of the order

Find the differential equation of all parabolas whose axes are parallel to y-axis.

Find the equation of hyperbola whose transverse axis is 10 conjugate axis is 6.

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

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

What is the differential equation of all parabolas whose axes are parallel to Y-axis ?

Find the equation of the hyperbola whose axes (transverse and conjugate axis) are parallel to x axis and y axis and centre is origin.Length of latus rectum lengthis 18 unit and distance between focies is 12unit.

Equations of Lines Parallel to the X-axis and Y-axis

Find the differential equation of all the ellipses whose center is at origin and axis are co- ordinate axis.