The tangent PT and the normal PN to the parabola `y^2=4ax` at a point P on it meet its axis at points T and N, respectively. The locus of the centroid of the triangle PTN is a parabola whose:

Tangent PT and normal PN to the parabola y^(2)=4ax at a point P on it meet its axis at T and N respectively. The Locus of the centroid of the triangle PTN is a parabola whose

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

The normal to parabola y^(2) =4ax from the point (5a, -2a) are

If the normal to the parabola y^2=4ax at the point (at^2, 2at) cuts the parabola again at (aT^2, 2aT) then

The tangent and normal at P(t) , for all real positive t , to the parabola y^2= 4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, T and G is

From a variable point R on the line y = 2x + 3 tangents are drawn to the parabola y^(2)=4ax touch it at P and Q point. Find the locus of the centroid of the triangle PQR.

Tangent and normal at any point P of the parabola y^(2)=4ax(a gt 0) meet the x-axis at T and N respectively. If the lengths of sub-tangent and sub-normal at this point are equal, then the area of DeltaPTN is given by

If S be the focus of the parabola and tangent and normal at any point P meet its axis in T and G respectively, then prove that ST=SG = SP .

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.