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

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

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

Find the equation of the diameter of the circle x ^2 + y ^2 - 14x + 6y + 9 = 0 which passes through the point (2, 1).

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

Find the equation of the straight line passing through the points (-2, 3) and (6, -4).

Find the equation of a circle with centre(2,2)and passes through the point (4,5).

Find the equation of a circle whose centre is the origin and passes through the point (2,-4).

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

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).

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