Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is `(2pi)/3dot`

The locus of point of intersection of tangents to the ellipse.If the difference of the eccentric angle of the points is theta

The locus of the point of intersection of the tangents drawn to the ellipse (x^(2))/(4)+y^(2)=1 if the difference of the eccentric angle of their contanct is (2pi)/(3) is

Find the locus of the point of intersection of the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) if the difference of the eccentric angles of their points of contact is 2 alpha.

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