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A linear binomial l(z) = Az + B with complex coefficients A and B is given. It is known that the maximal value of |l(z)| on the segment -1 \leq x \leq 1 (y = 0) of the real line in the complex plane z = x + iy is equal to M. Prove that for every z
|l(z)| \leq M \rho,
where \rho is the sum of distances from the point P=z to the points Q_1: z = 1 and Q_3: z = -1.

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