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

Prove that the locus of the poles of tangents to the parabola y^2=4ax with respect to the circle x^2+y^2=2ax is the circle x^2+y^2=ax .

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

If the line px+qy=1 is a tangent to the parabola y^(2)=4ax. then

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is