If the complex number satisfying

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

Problem

If the complex number zz satisfying (z−zˉ)2=12∣z∣2−4(z - \bar{z})^2 = 12|z|^2 - 4 , then find the maximum value of 33Re⁡(z)+8Im⁡(z)3\sqrt{3} \operatorname{Re}(z) + 8 \operatorname{Im}(z) .

Related theory

Browse the problem library