From points on the circle `x^2+y^2=a^2` tangents are drawn to the hyperbola `x^2-y^2=a^2`. Then, the locus of mid-points of the chord of contact of tangents is:

From a point on the line x-y+2=0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

From a point on the line x-y+2-0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

If the angle between the tangents at the end points of the chords of the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 is 90 then the locus of mid point of the chord of contact is

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to the circle x^(2)+y^(2)=9 . Then show that the locus of the mid point of the chord of contact is (x^(2)+y^(2))^(2)=81 (x^(2)/9-y^(2)/4)

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.