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 :

Find the length of the latus rectum of the parabola x^(2) = -8y .

PQ is a variable focal chord of the parabola y^(2)=4ax whose vertex is A.Prove that the locus of the centroidof triangle APQ is a parabola whose latus rectum is (4a)/(3) .

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).

The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

Let the focus S of the parabola y^(2)=8x lie on the focal chord PQ of the same parabola. If the length QS = 3 units, then the ratio of length PQ to the length of the laturs rectum of the parabola is

If ASC is a focal chord of the parabola y^(2)=4ax and AS=5,SC=9 , then length of latus rectum of the parabola equals