The normal at a point P on the parabola y^2 = 4ax meets the X axis in G. Show that P and G are equidistant from focus.

Normal at a point P on the parabola y^(2)=4ax meets the axis at Q such that the distacne of Q from the focus of the parabola is 10a. The coordinates of P are :

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

The normal at a point P to the parabola y^2=4ax meets axis at G. Q is another point on the parabola such that QG is perpendicular to the axis of the parabola. Prove that QG^2−PG^2= constant

A normal drawn at a point P on the parabola y^(2)=4ax meets the curve again at O. The least distance of Q from the axis of the parabola,is

If the normal at a point P to the hyperbola x^2/a^2 - y^2/b^2 =1 meets the x-axis at G , show that the SG = eSP.S being the focus of the hyperbola.

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

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