Find the vertices, eccentricity, foci and the equations of directrices of the hyperbola `x^2 - y^2 = 1`.

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

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

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 .

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 16x^2 -9y^2 = 576

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. x^2/16-y^2/9=1

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 49y^2 - 16x^2 = 784

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

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 5y^2-9x^2 = 36

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. y^2/9-x^2/27=1