Write the focus, directrix, and length of latus rectum of the parabola: (i) 3y`^2` = 4x

Write the focus, directrix, and length of latus rectum of the parabola: (ii) 5y ^2 = - 8x

Write the focus, directrix, and length of latus rectum of the parabola: (iii) x ^2 = 6y

Write the focus, directrix, and length of latus rectum of the parabola: (iv) x ^2 = -9y

Write the coordinates of the vertex and the focus, the equations of the directrix and the axis, and the length of the latus rectum of the parabola: (i) y ^2 = 16x

Find the co-ordinates of the focus and the equation of the directrix of the parabola y^2=12x .

Find the vertex and the directrix of the parabola y^2=8(x+1) .

Find the differential equation of all parabolas : y^2 = 4ax

What is the distance of the focus from the directrix of the parabola y ^2 = 8x?

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

Find the focus and the directrix of the parabola y ^2 = 4kx if it passes through the point (4a, 4a).