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

IF the normals to the parabola y^2=4ax at three points P,Q and R meets at A and S be the focus , prove that SP.SQ.SR= a(SA)^2 .

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

The normal to the parabola y^(2)=4ax at three points P,Q and R meet at A. If S is the focus, then prove that SP*SQ*SR=aSA^(2) .

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

If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G and S is the focus then SG=