PQ is a focal chord of the parabola `y^2=4ax,O` is the origin. Find the coordinates of the centroid. G. of triangle OPQ and hence find the locus of G as PQ varies.

If PQ is a focal chord of the parabola y^(2)=4ax with focus at s, then (2SP.SQ)/(SP+SQ)=

PQ is a double ordinate of a parabola y^(2)=4ax. Find the locus of its points of trisection.

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) .

If PQ is a focal chord of parabola y^(2) = 4ax whose vertex is A , then product of slopes of AP and AQ 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 :

bar(PQ) is a double ordinate of the parabola y^2=4ax ,find the equation to the locus of its point of trisection.

If PSQ is a focal chord of the parabola y^(2) = 4ax such that SP = 3 and SQ = 2 , find the latus rectum of the parabola .