Show that the equation `9x^2 - 16y^2 - 18x-64y-199=0` represents a hyperbola. Fof this hyperbola, find the length of axes, eccentricity, centre, foci, vertices, latus rectum and directrices.

Show that the equation 9x^2 - 16y^2 - 18x - 64y - 199 = 0 represents a hyperbola. For this hyperbola, find the length of axes, eccentricity, centre, foci, vertices, latus rectum and directrices.

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.

Show that the equation x^(2)-2y^(2)-2x+8y-1=0 represents a hyperbola.Find the coordinates of the centre, lengths of the axes,eccentricity,latusrectum, coordinates of foci and vertices,equations of the directrices of the hyperbola.

For the hyperbola 4x^(2) - 9y^(2) = 1 , find the axes, centre, eccentricity, foci and equations of the directrices.

Show that 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 represents a rectangular hyperbola. Find its centre foci and eccentricity.

Find the length of axes, eccentricity, centre, foci and latus rectum of the hyperbola 16x^2 - 3y^2 - 32x - 12y - 44 = 0 .

For the ellipse 9x^2 + 16y^2 = 144 , find the length of the major and minor axes, the eccentricity, the coordinatse of the foci, the vertices and the equations of the directrices.

If (x^(2))/(36) - (y^(2))/(64) =1 represents a hyperbola, then find the co-ordinates of the foci and the vertices, the eccentricity and the length of the latus rectum.

In the hyperbola 4x^2 - 9y^2 = 36 , find the axes, the coordinates of the foci, the eccentricity, and the latus rectum.