5. The locus of point of intersection of two tangents to the parabola `y^2=4x` such that their chord of contact subtends a right angle at the vertex is

prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola y^2 = 4ax which subtends a right angle at the vertes is x+4a=0 .

prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola y^2 = 4ax which subtends a right angle at the vertes is x+4a=0 .

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

The locus of point of intersection of tangents drawn at the ends of chord of y^(2) = 4ax which subtends a right angle at vertex is