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`

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

The locus of the point of intersection of a pair of perpendicular tangents to an ellipse is a/an-

Obtain the locus of the point of intersection of the tangent to the circle x^2 + y^2 = a^2 which include an angle alpha .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

The locus of the point of intersection of the tangents to the circle x^2+ y^2 = a^2 at points whose parametric angles differ by pi/3 .

Find the locus of the point of intersection of two normals to a parabolas which are at right angles to one another.

Find the locus of the point of intersection of tangents in the parabola x^2=4a xdot which are inclined at an angle theta to each other. Which intercept constant length c on the tangent at the vertex. such that the area of A B R is constant c , where Aa n dB are the points of intersection of tangents with the y-axis and R is a point of intersection of tangents.

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

The locus of the point of intersection of two perpendicular tangents to the ellipse (x^(2))/(9) +(y^(2))/(4)=1 is -

If the distrance of a point on the ellipse 4x^(2) +9y^(2) =36 from its centre is 2, then the eccentric angle of the point is-