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 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 : 3x^2 - 2y^2 = 1

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 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 co-ordinates of the vertices, the foci, the eccentricity and the length of latus-rectum of the hyperbolas : (a) (x^(2))/(9) -(y^(2))/(16) = 1 (b) (i) 16x^(2) - 9y^(2) = 576 (ii) y^(2) -16x^(2) = 1 (iii) 5y^(2) - 9x^(2) = 36 (iv) 49y^(2) - 16x^(2) = 784 .

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 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 coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola 49y^(2)-16x^(2)=784

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola 9y^(2)-4x^(2)=36