The parabola `y^2= 4ax` passes through the centre of the circle `2x^2+ 2y^2-4x + 12y-1=0;` find the co-ordinates of the focus, length of the latus rectum and equation of the directrix.

The parabola y^(2) = 4ax passes through the centre of the circle 2x^(2) + 2y^(2) + 4 x- 12 y - 4 = 0 ,Find the coordinates of the focus , length of the latus rectum and equation of the derectrix

The parabola y^(2) = 2ax passes through the centre of the circle 4x^(2) + 4y^(2) - 8x + 12 y - 7 = 0 . Find the focus the length of the latus rectum and the equation of the directrix of this parabola .

If the parabola y^(2)=4ax passes through the centre of the circle x^(2)+y^(2)+4x-12y-4=0, what is the length of the latus rectum of the parabola

If the parabola y^(2) =4ax passes through the centre of the circle x^(2) +y^(2) + 4x - 12 y - 4 = 0 what is the length of the latus rectum of the parabola ?

For the following parabola, find the coordinates if the focus, length of the latus rectum, equation of the axis and the equation of the directrix. y^2=18x

If the parabola y^(2)=4ax passes through the point (2,-3) then find the co-ordinates of the focus and the length of latus rectum.

If the parabola y^(2)=4ax passes through the (4,-8) then find the length of latus rectum and the co-ordinates of focus.

If the parabola y^(2)=4ax passes through the (4,-8) then find the length of latus rectum and the co-ordinates of focus.