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.

If the focus of a parabola is (3,3) and its directrix is 3x-4y=2 then the length of its latus rectum is

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.

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).

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.

PQ is a double ordinate of a parabola y^(2)=4ax . The locus of its points of trisection is another parabola length of whose latus rectum is k times the length of the latus rectum of the given parabola, the value of k is

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

Let PQ be the focal chord of the parabola y^(2)=8x and A be its vertex. If the locus of centroid of the triangle APQ is another parabola C_(1) then length of latus rectum of the parabola C_(1) is :

If vertex of a parabola is origin and directrix is x + 7 = 0 , then its latus rectum is

Find the measure of the angle subtended by the latus rectum of the parabola y^(2) = 4ax at the vertex of the parabola .

The locus of the midpoint of the focal distance of a variable point moving on theparabola y^(2)=4ax is a parabola whose (d)focus has coordinates (a,0)(a)latus rectum is half the latus rectum of the original parabola (b)vertex is ((a)/(2),0) (c)directrix is y-axis.