The locus of the point of inter section of perpendicular chords passing through the foci of the ellipse `x^2/a^2+y^2/b^2=1(a >b)` is

The locus of the point of intersection of the perpendicular tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 is

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The product of the perpendiculars from the foci on any tengent to the ellipse x^2/a^2 + y^2/b^2 = 1 is

The locus of the mid points of the chords passing through a fixed point (alpha, beta) of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1