Tangents are drawn at two points of a hyperbola xy=1. Let tangent at one point passes through the foot of ordinate of the other point. If the locus of the point of intersection of the two tangents is the hyperbola xy=a, then the value of 9a is ('Foot of ordinate of a point' is the foot of its perpendicular from the point to the x−axis)

Tangents are drawn at two points of a hyperbola xy=1. Let tangent at o

1.	Tangents are drawn at two points of a hyperbola xy=1. Let tangent at one point passes through the foot of ordinate of the other point. If the locus of the point of intersection of the two tangents is the hyperbola xy=a, then the value of 9a is ('Foot of ordinate of a point' is the foot of its perpendicular from the point to the x−axis)
Answer» Tangents are drawn at two points of a hyperbola $x y = 1$ . Let tangent at one point passes through the foot of ordinate of the other point. If the locus of the point of intersection of the two tangents is the hyperbola $x y = a$ , then the value of $9 a$ is ('Foot of ordinate of a point' is the foot of its perpendicular from the point to the $x -$ axis)