Find the equation of the circle, one of whose diameters is the latus rectum of `y^(2) =4ax` . Show that this circle goes through the common point of the axis and the directrix of the parabola.

Find the equation of parabola whose Vertex is (-1,-2) latus rectum is 4 and axis is parallel to y axis

Prove that the lines joining the ends of latus rectum of the parabola y^(2) = 4ax with the point of intersection of its axis and directrix are at right angles.

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=20 x . It is given that this circle also touches the directrix of the parabola, Find the radius of this circle.

Find the coordinates of the focus,axis,the equation of the directrix and latus rectum of the parabola y^(2)=8x

Find the coordinates of the focus , axis, the equation of the directrix and latus rectum of the parabola y^(2)=8x .

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.