If , , and , the greatest value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If ∣z1−1∣≤1|z_1-1|\leq1, ∣z2−2∣≤2|z_2-2|\leq2, and ∣z3−3∣≤3|z_3-3|\leq3, the greatest value of ∣z1+z2+z3∣|z_1+z_2+z_3| is: (1) 6 (2) 12 (3) 17 (4) 23

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