Perpendiculars are drawn on a tangent to the parabola `y^2 = 4ax` from the points `(a +- k,0).` The difference of their squares is

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

Three normals drawn from a point (h k) to parabola y^2 = 4ax

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

The angle between tangents to the parabola y^2=4ax at the points where it intersects with teine x-y-a = 0 is (a> 0)

The angle between tangents to the parabola y^2=4ax at the points where it intersects with teine x-y-a = 0 is (a> 0)

The angle between tangents to the parabola y^(2)=4ax at the points where it intersects with teine x-y-a=0 is (a>0)

Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4ax is :

Prove that the locus of the foot of the perpendicular drawn from the focus of the parabola y ^(2) = 4 ax upon any tangent to its is the tangent at the vertex.