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If $|z_{1}| = |z_{3}| = |z_{3}| = 1$ then value of ${|z_{2} - z_{3}|}^{2} +$ ${|z_{3} - z_{1}|}^{2} + {|z_{1} - z_{2}|}^{2}$ cannot exceed

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detailed solution

Correct option is C

z1+z2+z3≥0⇒z12+z22+z32+2Re⁡z1z¯2+z2z¯3+z3z¯1≥0⇒Re⁡z1z¯2+z2z¯3+z3z¯1≥−32Now, z2−z32+z3−z12+z1−z22=6−2Re⁡z1z¯2+z2z¯3+z3z¯1≤6−(−3)=9

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If z1=z3=z3=1 then value of z2−z32+z3−z12+z1−z22 cannot exceed

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If $|z_{1}| = |z_{3}| = |z_{3}| = 1$ then value of ${|z_{2} - z_{3}|}^{2} +$ ${|z_{3} - z_{1}|}^{2} + {|z_{1} - z_{2}|}^{2}$ cannot exceed