Find the directrices of the hyperbola `x^2 - y^2 = 4`.

Find the centre, eccentricity, foci and directrices of the hyperbola : x^2-3y^2-2x=8.

Find the centre, eccentricity, foci and directrices of the hyperbola : 9x^2-16y^2+ 18x +32y-151 = 0 .

Find the lengths of the major and minor axes, co-ordinates of the foci, vertices, the eccentricity and equations of the directrices for the ellipse 9x^2+ 16y^2 = 144 .

Find the lengths of the transvers and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: 16 x^2-9y^2=-144.

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 9y^2 - 4x^2 = 36

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Find the position of the point (5, -4) relative to the hyperbola 9x^(2)-y^(2)=1 .

The distance between the directrices of the ellipse x^2/4+y^2/9=1 is: