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

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 : 16x^2 -3y^2-32x -12y- 44 = 0 represents a hyperbola , and find the lengths of the axes and eccentricity.

Show that the equation 9x^(2) - 16y^(2) - 18x - 64y - 199 = 0 represents the equation of a hyperbola, find the coordinates of its centre and foci and also the equations of its directrices

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. Fof this hyperbola, find the length of axes, eccentricity, centre, foci, vertices, latus rectum and directrices.

Show that the eqaution 16x^2-3y^2-32x+12y-44=0 represents a hyperbola. Find the length of axes and eccentricity.

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 3x^(2)+3y^(2)+12x-18y-11=0 represent a circle.Also find its centre and radius.