Find the locus of point of intersection of tangents at the extremities of normal chords of the elipse `x^2/a^2+y^2/b^2=1`

The locus of the point of intersection of tangents at the extremities of the chords of hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 which are tangents to the circle drawn on the line joining the foci as diameter is

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6 which touch the ellipse x^2+4y^2=4, is x^2+y^2=4 (b) x^2+y^2=6 x^2+y^2=9 (d) None of these

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^(2)+2y^(2)=6 which touch the ellipse x^(2)+4y^(2)=4, is x^(2)+y^(2)=4(b)x^(2)+y^(2)=6x^(2)+y^(2)=9(d) None of these

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

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x^(2)+y^(2)=r^(2) which touches the circle x^(2)+y^(2)+2rx=0 is

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x^(2)+y^(2)=r^(2) which touches the circle x^(2)+y^(2)+2rx=0 is

The locus of the point of intersection of the tangents at the extermities of a chord of the circle x^2+y^2=b^2 which touches the circle x^2+y^2-2by=0 passes through the point

The locus of the point of intersection of the tangents at the extermities of a chord of the circle x^2+y^2=b^2 which touches the circle x^2+y^2-2by=0 passes through the point