If are complex numbers such that

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If z1,z2,z3z_1, z_2, z_3 are complex numbers such that ∣z1∣=5,∣z2∣=3,∣z3∣=4|z_1| = 5, |z_2| = 3, |z_3| = 4 , then the maximum value of ∣z1−z2∣2+∣z2−z3∣2+∣z3−z1∣2|z_1 - z_2|^2 + |z_2 - z_3|^2 + |z_3 - z_1|^2 is - - -

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