The locus of point of intersection of the two tangents to the ellipse `b^2x^2+a^2y^2=a^2b^2` which make an angle `60^@` with one another is

The locus of the point of intersection of two tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 which make an angle 60^(@) with one another is

The locus of the point of Interection of two tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which a make an angle 60^@ with one another is

The locus of the point of intersection of two tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) = 1 which make an angle 90^(@) with one another is

The locus of the point of intersection of two tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) = 1 which make an angle 90^(@) with one another is

Find the locus of the point of intersection of two tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 . which makes an angle alpha with one another.