The coordinates of the foci of a hyperbola are `(+- 6, 0)` and its latus rectum is of 10 units. Find the equation of the hyperbola.

If the co-ordinates of the foci and vertices of the hyperbola are (pm13, 0) and (pm 5, 0) respectively, then find the equation of the hyperbola.

The equation of the hyperbola whose foci are (pm 4, 0) and length of latus rectum is 12 is

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0). The equation of the hyperbola is

The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0) ,(-3,0) .The equation of the hyperbola is

Find the equation of the hyperbola whose foci are (0,+-4) and latus rectum is 12.

Find the equation of the hyperbola whose foci are (pm 3, sqrt5,0) and latus rectum is of length 8.

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

Find the coordinates of the foci, the eocentricity, the latus rectum, and the equations of directrices for the hyperbola 9x^2-16 y^2-72 x+96 y-144=0