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 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

Find the equation of the hyperbola whose foci are (0,pm4) and latus rectum is 12.

The equation of the hyperbola whose foci are (pm5,0) and length of the latus rectum is (9)/(2) is

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

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

Show that the equation 9x^(2)-16y^(2)-18x+32y-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.