Tangents are drawn from any point on the ellipse `x^2/9+y^2/4=1` to the circle `x^2+y^2=1` and respective chord of contact always touches a conic 'C', then -

Tangents are drawn from a point on the ellipse x^2/a^2 + y^2/b^2 = 1 on the circle x^2 + y^2 = r^2 . Prove that the chord of contact are tangents of the ellipse a^2 x^2 + b^2 y^2 = r^4 .

Tangents are drawn from each point on the line 2x+y=4 to the circle x^(2)+y^(2)=4 . Show that the chord of contact pass through a point (1/2,1/4) .

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.

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

tangent is drawn at point P(x_(1),y_(1)) on the hyperbola (x^(2))/(4)-y^(2)=1. If pair of tangents are drawn from any point on this tangent to the circle x^(2)+y^(2)=16 such that chords of contact are concurrent at the point (x_(2),y_(2)) then