Find the locus of point `P` such that the tangents drawn from it to the given ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` meet the coordinate axes at concyclic points.

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 form a triangle of constant area with the coordinate axes.

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 form a triangle of constant area with the coordinate axes.

The locus of the mid point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the coordinate axes is

The locus of the middle point of the intercept of the tangent drawn from an external point to the ellipse x^(2) + 2y^(2) =2 between the coordinate axes is-

the locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

The locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is