If the chord of contact of tangents from a point on the circle `x^(2) + y^(2) = a^(2)` to the circle `x^(2)+ y^(2)= b^(2)` touches the circle `x^(2) + y^(2) = c^(2)`, then a, b, c are in-

If the chord of contact of the tangents drawn from a point on the circle x^(2)+y^(2)+y^(2)=a^(2) to the circle x^(2)+y^(2)=b^(2) touches the circle x^(2)+y^(2)=c^(2), then prove that a,b and c are in GP.

The chord of contact of tangents drawn from a point on the circle x^2 + y^2 = a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2=c^2 Show that a, b, c are in G.P.

chord of contact of the tangents drawn from a point on the circle x^(2)+y^(2)=81 to the circle x^(2)+y^(2)=b^(2) touches the circle x^(2)+y^(2)=16 , then the value of b is

The chord of contact of tangents drawn from any point on the circle x^2+y^2=a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2 =c^2 . Then a, b, c are in:

If the chord of contact of the tangents from a point on the circle x^2 + y^2 = a^2 to the circle x^2 + y^2 = b^2 touch the circle x^2 +y^2 = c^2 , then the roots of the equation ax^2 + 2bx + c = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

If the chord of contact of the tangents from a point on the circle x^2 + y^2 = a^2 to the circle x^2 + y^2 = b^2 touch the circle x^2 +y^2 = c^2 , then the roots of the equation ax^2 + 2bx + c = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

If the chord of contact of the tangents from a point on the circle x^2 + y^2 = a^2 to the circle x^2 + y^2 = b^2 touch the circle x^2 +y^2 = c^2 , then the roots of the equation ax^2 + 2bx + c = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

(prove that) If the polar of the points on the circle x^(2) + y ^(2) = a^(2) with respect to the circle x^(2) + y^(2) = b^(2) touches the circle x^(2) + y^(2) = c^(2) then prove that a, b, c, are in Geometrical progression.