Find the eccentricity of the hyperbola (i) x`^2`/4 - y`^2` = 1

Find the eccentricity of the hyperbola (ii) x ^2 /16 - y ^2 /9 = 1

What is the eccentricty of the hyperbola 9x^2-16y^2=144 .

Find the equations of the tangents to the hyperbola x ^2 - 2y ^2 = 18 which are perpendicular to the line x - y = 0.

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. x^2/16-y^2/9=1 .

What is the eccentricity of the following ellipse? 2x^2+5y^2=20 .

Find the equation of the tanget to the parabola (i) y^2 = 4x which is parllel to 2x + y + 3 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (i) x ^2 + y ^2 + 2x + 4y - 45 = 0

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. 16x^2-9y^2=576 .

Find the coordinates of the centre, vertices, foci and the equation to the directrices of (iii) 4x ^1 + 5y ^2 = 1