PQ is chord of contract of tangents from point T to a parabola. If PQ is normal at P, if dirctric divides PT in the ratio K : 2019 then K is `"_______"`

P & Q are the points of contact of the tangents drawn from the point T to the parabola y^(2) = 4ax . If PQ be the normal to the parabola at P, prove that TP is bisected by the directrix.

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

From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax . Prove that centroid lies inside the parabola.

From a point P, tangents PQ and PR are drawn to the parabola y ^(2)=4ax. Prove that centrold lies inside the parabola.

PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP

PQ is a chord of length 8cm of a circle of radius 5cm .The tangents at P and Q intersect at a point T.Find the length TP.

Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is

Consider a parabola y^(2)=4x with vertex at A and focus at S. PQ is a chord of the parabola which is normal at point P. If the abscissa and the ordinate of the point P are equal, then the square of the length of the diameter of the circumcircle of triangle PSQ is