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 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 the points on a tangent of the hyperbola x^2-y^2=a^2 to the parabola y^2=4a xdot If all the chords of contact pass through a fixed point Q , prove that the locus of the point Q for different tangents on the hyperbola is an ellipse.

Tangents are drawn from any point on the directrix of y^(2)=16x to the parabola. If thelocus of the midpoint of chords of contact is a parabola, then its length (in units) of the latus rectum is

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 . Then all the chords of contact pass through a fixed point. Find the coordinates.

Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

If tangents be drawn from points on the line x=c to the parabola y^2=4x , show that the locus of point of intersection of the corresponding normals is the parabola.

From the point (-1,2), tangent lines are to the parabola y^(2)=4x . If the area of the triangle formed by the chord of contact and the tangents is A, then the value of A//sqrt(2) is ___________ .