If the focus of a parabola is (2, 3) and its latus rectum is 8, then find the locus of the vertex of the parabola.

A parabola of latus rectum l touches a fixed equal parabola. The axes of two parabolas are parallel. Then find the locus of the vertex of the moving parabola.

A parabola of latus rectum l touches a fixed equal parabola. The axes of two parabolas are parallel. Then find the locus of the vertex of the moving parabola.

A parabola of latus rectum l touches a fixed equal parabola. The axes of two parabolas are parallel. Then find the locus of the vertex of the moving parabola.

A parabola of latus rectum l touches a fixed equal parabola.The axes of two parabolas are parallel.Then find the locus of the vertex of the moving parabola.

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 .

Let PQ be a variable chord of the parabola x^(2)=4by which subtends a right angle at the vertex. Show that locus of the centroid of triangle PSQ is again a parabola and also find its latus rectum. (S is focus of the parabola).

A parabola, of latus-rectum l, touch a fixed equal parabola, the axes of two parabola, being parallel. Prove that the locus of the vertex of the moving parabola is a parabola of latus rectum 2l.

If parabola of latus rectum touches a fixed equal parabola, the axes of the two curves being parallel, then the locus of the vertex of the moving curve is

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