The chords passing through (2, 1) intersect the hyperbola `(x^(2))/(16)-(y^(2))/(9)=1` at A and B. The locus of the point of intersection of tangents at A and B on the hyperbola is

The chords passing through L(2,1) intersects the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at P and Q. If the tangents at P and Q intersects at R then Locus of R is

If a tangent to the parabola y^(2)=4ax intersects the (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at A and B, then the locus of the point of intersection of tangents at A and B to the ellipse is

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.

A line through the origin meets the circle x^(2)+y^(2)=a^(2) at P and the hyperbola x^(2)-y^(2)=a^(2) at Q. Prove that the locus of the point of intersection of tangent at P to the circle with the tangent at Q to the hyperbola is a straight line.

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy = c^(2)

A chord PQ of the hyperbola xy=c^(2) is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 Find the locus of the middle point of PQ .

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is