Position of point with respect to parabola `y^2=4ax`

Find the position of the point (-2,2) with respect to the parabola y^2-4y+9x+13=0 .

The pole of the line lx+my+n=0 with respect to the parabola y^(2)=4ax, is

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

T is a point on the tangent to a parabola y^(2) = 4ax at its point P. TL and TN are the perpendiculars on the focal radius SP and the directrix of the parabola respectively. Then

Prove that image of the focus lies on directrix with respect to any tangent of parabola y^(2)=4ax

Equation of tangent to parabola y^(2)=4ax

The parametric coordinates of any point on the parabola y^(2) = 4ax can be

Find the locus of mid-point of chord of parabola y^(2)=4ax which touches the parabola x^(2)=4by