If the tangents at the points `P and Q` on the parabola `y^2 = 4ax` meet at `R and S` is its focus, prove that `SR^2 = SP.SQ`.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be its focus, then prove that .SP . SQ . SR = a . (SO)^2 .

If the tangents at points P and Q of the parabola y^2 = 4ax intersect at R then prove that midpoint of R and M lies on the parabola where M is the midpoint of P and Q

If the tangents at points P and Q of the parabola y^2 = 4ax intersect at R then prove that midpoint of R and M lies on the parabola where M is the midpoint of P and Q

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is

Prove that the point on the parabola y^(2) = 4ax (a gt0) nearest to the focus is its vertex.

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.

The tangents to the parabola y^2=4a x at the vertex V and any point P meet at Q . If S is the focus, then prove that S PdotS Q , and S V are in GP.

The tangents to the parabola y^2=4a x at the vertex V and any point P meet at Q . If S is the focus, then prove that S PdotS Q , and S V are in GP.