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.

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.

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.

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.

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.

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 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre .

Show that the equation 7x^(2)-9y^(2)+54x-28y-116=0 represent a hyperbola. Find the coordinate of the centre, lenghts of transverse and conjugate axes, eccentricity, latusrectum, coordinates of foci, vertices and directrices of the hyperbola.

Show that the equation 7x^(2)-9y^(2)+54x-28y-116=0 represent a hyperbola. Find the coordinate of the centre, lenghts of transverse and conjugate axes, eccentricity, latusrectum, coordinates of foci and vertices of the hyperbola.

Find the centre, the length of latus rectum, the eccentricity, the coordinates of foci and the equations of the directrices of the hyperbola ((x+2)^(2))/(9) - ((y-1)^(2))/(16) = 1.

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