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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

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