A circle is the director circle of the circle and is the director circle of circle…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

A circle

x^2 + y^2 + 4x - 2\sqrt{2}y + c = 0

is the director circle of the circle

C_1

and

C_1

is the director circle of circle

C_2

and so on. If the sum of radii of all these circles is 2 and if

c = \lambda\sqrt{2}

, then the value of

\lambda