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

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 ellipes referred to its major and minor axes as the co-ordinate axes X, Y- respectively with latus rectum of length 4 and distance between foci 4sqrt2 .

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.

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

Find the equation of the hyperbola whose axes are the axes of coordinates and length of conjugate axis is 5 and the distance between the foci is 13.

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.

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : conjugate axis is 5 and passes through the point (1, -2).

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : distance between foci is 5 and conjugate axis is 3.