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

The coordinates of the foci of a hyperbola are (16,0) and (-8,0) and its eccentricity is 3, find the equation of the hyperbola and the length of its latus rectum.

The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and the length of its latus rectum is 12 units , find its equation.

The coordinates of foci of the hyperbola x^(2) - y^(2) = 4 are-

The distance between the foci of a hyperbola is 16 and its eccentricity is sqrt(2) then equation of the hyperbola is

The coordinates of the vertices of a hyperbola are (9,2) and (1,2) and the distance between its two foci is 10. Find its equation and also the length of its latus rectum.

The equation of the directrix of a hyperbola is x-y+3 = 0. Its focus is (-1,1) and eccentricity is 2 . Find the equation of the hyperbola.

The coordinates of the foci of an ellipse are (0,pm 4 ) and the equations of its directrices are y = pm 9 . Find the length of the latus rectum of the ellipse

The coordinates of the two ends of latus rectum of a parabola are (3,4) and (3,0) ,find the equation of the parabola.

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

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