Tangents are drawn from any point on the line `x+4a=0` to the parabola `y^2=4a xdot` Then find the angle subtended by the chord of contact at the vertex.

Let the tangents PQ and PR are drawn to y^(2)=4ax from any point P on the line x+4a=0 . The angle subtended by the chord of contact QR at the vertex of the parabola y^(2)=4ax is

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from points of the parabola y^(2)=4ax to the parabola y^(2)=4b(x-c) . Find the locus of the mid point of chord of contact.

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is