PQ is a double ordinate of a parabola `y^2=4a xdot` Find the locus of its points of trisection.

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

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

PQ is a double ordinate of the parabola y^2 = 4ax. If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

If latus rectum of ellipse (x^(2))/(25)+(y^(2))/(16)=1 is double ordinate of parabola y^(2)=4ax, then find the value of a.

If the line Ix+my+n=0 is a tangent to the parabola y^(2)=4ax, then locus of its point of contact is:

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

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.

Let PQ be a double ordinate of the parabola,y^(2)=-4x where P lies in the second quadrant.If R divides PQ in the ratio 2:1 then teh locus of R is

A variable chord of the parabola y^(2)=8x touches the parabola y^(2)=2x. The the locus of the point of intersection of the tangent at the end of the chord is a parabola.Find its latus rectum.