Find the foci and latus rectum of the hyperbola whose transverse and conjugate axis are 6 and 4 and center is at (0, 0,).

Find the equation of the parabola in each of the following cases:The length of the latus rectum is 6 and the vertex is at (0,0) the parabola opening to the right.

Find the equation of the hyperbola which has its foci at (0,0) and (0,4) and which passes through the point (12,9)

obtain the equation of hyperbola in each of the following cases: centre at (0,0) transverse axis along x-axis of length 4 and focus at (2sqrt5,0) .

Find the equation of the hyperbola with foci at (+-3,0) and directrices x=+-2

obtain the equation of hyperbola in each of the following cases : foci at (+-4,0) and vertices at (+-2,0) .

Reducing to standard form obtain the co-ordinates of the centre the vertices the foci the endpoints of conjugate axis, the endpoints of latera recta the equation of directrices and the eccentricity of the following hyperbola : x^2-2y^2-6x-4y+5=0

Reducing to standard form obtain the co-ordinates of the centre the vertices the foci the endpoints of conjugate axis, the endpoints of latera recta the equation of directrices and the eccentricity of the following hyperbola : 9y^2-4x^2-90y+189=0 .

Find the equation of the ellipse in each of the following cases: centre at (-3,3) vertex at (-3,6) and one end minor axis at (0,3).

obtain the equation of hyperbola in each of the following cases: centre at (0,0) conjugate axis along x-axis of length 6 and eccentricity 2.