The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola `xy=c^2` is (A) `(x^2-y^2 )^2 + 4c^2xy = 0` (B)` (x^2+y^2)^2+ 4c2^xy=0` (C)` x^2-y^2 )^2 + 4cxy = 0` (D) `(x^2 +y^2)^2+4cxy =0`

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy=c^(2) is (A)(x^(2)-y^(2))^(2)+4c^(2)xy=0(B)(x^(2)+y^(2))^(2)+4c2^(x)y=0(C)x^(2)-y^(2))^(2)+4c2^(x)y=0(C)x^(2)-y^(2))^(2)+4cxy=0(D)(x^(2)+y^(2))^(2)+4cxy=0

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

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

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

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

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

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^(2)y^(2)

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^(2)y^(2) .

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 foot of the perpendicular from the centre of the hyperbola xy = c^2 on a variable tangent is (A) (x^2-y^2)=4c^2xy (B) (x^2+y^2)^2=2c^2xy (C) (x^2+y^2)=4c^2xy (D) (x^2+y^2)^2=4c^2xy