Find the coordinates of the vertices, the foci, the eccentricity and the equations of directrices of the hyperbola `4x^2 - 25y^2 = 100`.

Find the coordinates to the vertices, the foci, the eccentricity and the equation of the directrices of the hyperbola : 3x^2 - 2y^2 = 1

Find the coordinates to the vertices, the foci, the eccentricity and the equation of the directrices of the hyperbola : 16y^2 - 4x^2 = 1

Find the coordinates to the vertices, the foci, the eccentricity and the equation of the directrices of the hyperbola : y^2 - 16x^2 = 16 .

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

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

Find the coordinates of the foci,the eocentricity,the latus rectum,and the equations of directrices for the hyperbola 9x^(2)-16y^(2)-72x+96y-144=0

Find the co-ordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola y^(2) - 25x^(2) = 25 .

Find the length of the axes , the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola (y^(2))/(4)-(x^(2))/(9)=1,

Find the lengths of the axes, the coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the hyperbola (x^(2))/(36)-(y^(2))/(64)=1.