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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z1,z2,z3z_1, z_2, z_3 are complex number such that ∣z1∣=2,∣z2∣=3,∣z3∣=4,\left|z_1\right|=2,\left|z_2\right|=3,\left|z_3\right|= 4 , then maximum value of ∣z1−z2∣2+∣z2−z3∣2+∣z3−z1∣2\left|z_1-z_2\right|^2+\left|z_2-z_3\right|^2+\left|z_3-z_1\right|^2 is
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Correct option: C
87
Option C (87) is correct because the maximum value of the expression is obtained by minimizing the negative terms, which leads to the result 87.

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