Complex Numbers · Circles in the complex plane

Let the circles

C_1 : \lvert z\rvert = r

and

C_2 : \lvert z - 3 - 4i\rvert = 5

z \in \mathbb{C}

, be such that

C_2

lies within

C_1

. If

z_1

moves on

C_1

z_2

moves on

C_2

and

\min\lvert z_1 - z_2\rvert = 2

, then

\max\lvert z_1 - z_2\rvert

is equal to:

We corrected a printing error in the original paper

Source printed “Let the circle $C_1$ … and $C_2$ …” (singular for two circles).

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