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.`

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

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 9x^2 - 16y^2 = 144

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

The vertices of the hyperbola 9x^2 - 16y^2 = 144

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

In each of the 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

Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144 .

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

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.

In each of the 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