Find the foci, vertices, directrices and axes of the following parabolas : `y^2 - 8y - x + 19 = 0`.

Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches : x^2+ 2y -3x+5=0 .

Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches : y=x^2-2x +3 .

Find the foci, vertices, directrices, and axes of following parabola. Also draw their rough sketches : y=- 4x^2 + 3x .

Find the vertex, focus, and directrix of the following parabolas: x^(2)+8x+12y+4=0

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 2x^2 -3y^2 -6= 0 .

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 3x^2 -2y^2=1 .

Find the lengths of transverse and conjugate axes, co-ordinates of foci, vertices and the eccentricity for the following hyperbola : 16x^2 -9y^2 =144 .

Find the centre, eccentricity, foci and directrices of the hyperbola : x^2-3y^2-2x=8.

Find the lengths of the transvers and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: 16 x^2-9y^2=-144.

Find the centre, eccentricity, foci and directrices of the hyperbola : 9x^2-16y^2+ 18x +32y-151 = 0 .