Find the lengths of the transverse 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 length of latus rectum and the equations of the directrices of the hyperbola 3y^(2) - 4x^(2) = 12

Find the axis, coordinates of vertex and focus, length of latus rectum and the equation of directrix for the following parabola : y^(2)=18x

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

Find the axis, coordinates of vertex and focurs, length of latus rectum and the equation of directrix of the following parabola : y^(2) + 4x + 2y - 11 = 0

Write the length of the latus rectum of the hyperbola 16 x^2-9y^2=144.

The equation of the directrices of the hyperbola 9x^(2) -16y^(2) -18x-64y =199 arc-

The equations of directrices of hyperbola 4x^2-9y^2-16x-54y-101=0 are

The coordinates of the vertices of the hyperbola 9x^(2)-16y^(2)=144 are-

Find (i) the centre (ii) the vertices (iii) the equations of the axes (iv) the length of axes (v) the eccentricities (vi) the lengths of latera recta (vii) the coordinates of foci and (viii) the equations of the directrices of the following two hyperbolas: 4x^(2) - 9y^(2) + 8x + 36y = 68 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36