The tangents at the points P and Q on the parabola `y^(2)=4ax` meet at T. If S is its focus, then prove that SP,ST and SQ are in G.P.

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 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 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 .

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.

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

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

If tangents at A and B on the parabola y^2 = 4ax , intersect at point C , then ordinates of A, C and B are in (A) A.P. (B) G.P. (C) H.P. (D) none of these