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

Foot of the directrix of the parabola y^(2) = 4ax is the point

Foot of the directrix of the parabola y^(2) = 4ax is the point

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

The point of intersection of the tangents to the parabola y^(2)=4ax at the points t_(1) and t_(2) is -

Tangents at point B and C on the parabola y^2=4ax intersect at A. The perpendiculars from points A, B and C to any other tangent of the parabola are in:

Show that the tangent to the parabola y^2=4ax at the point (a' , b') is perpendicular to the tangnet at the point (a^2/a' ,-4a^2/b') .

P is a point on the parabola y^(2)=4ax whose ordinate is equal to its abscissa and PQ is focal chord, R and S are the feet of the perpendiculars from P and Q respectively on the tangent at the vertex, T is the foot of the perpendicular from Q to PR, area of the triangle PTQ is