If PQ be a normal chord of the parabola `y^(2)=4ax` and if S be the focus,then the locus of the centroid of the triangle SPQ is `y^(2)(ay^(2)+pa^(2)-qax)+ra^(4)=0` .The value of `(3q-p-r)/2`

The normal chord of the parabola y^(2)=4ax subtends a right angle at the focus.Then the end point of the chord is

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

Length of the shortest normal chord of the parabola y^(2)=4ax is

Let PQ be a variable normal chord of the parabola y^(2)=4x whose focus is S .If the locus of the centroid of the triangle SPQ is the curve gy^(2)(3x-5)=ky^(4)+w where g,k,w,in N, find the least value of (g+k+w)

PQ is normal chord of the parabola y^(2)=4ax at P(at^(2),2at) .Then the axis of the parabola divides bar(PQ) in the ratio

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

If PQ is a focal chord of a parabola y^(2)=4x if P((1)/(9),(2)/(3)) , then slope of the normal at Q is

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) .