Prove that the locus of the point of intersection of two tangents which intercept a given distance 4c on the tangent at the vertex is an equal parabola.

For the parabola y^(2)=4ax, prove that the locus of the point of intersection of two tangents which intercept a given distance 4C on the tangent at the vertex is again a parabola.

The locus of point of intersection of the two tangents to the parabola y^(2)=4ax which intercept a given distance 4c on the tangent at the vertex is

Locus of intersection of tangents if angle between tangent is theta

Find the locus of the point of intersection of two tangents to the parabola y^(2)=4ax , which with the tangent at the vertex forms a triangle of constant area 4sq. units.

The locus of the point of intersection of the tangents to the parabola y^(2)=4ax which include an angle alpha is

The locus of point of intersection of tangents inclined at angle 45^(@) to the parabola y^(2)=4x is