Complex Numbers1 passages

Complex Numbers — JEE Maths Comprehension Passages & Solutions

1 reading-comprehension sets on Complex Numbers with full step-by-step solutions, including past-year (PYQ) passages. Free to practice.

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Let z1z_1 and z2z_2 be two complex numbers satisfying (z−ω)2+(z−ω2)2=0,\left(z-\omega\right)^{2} + \left(z-\omega^{2}\right)^{2} = 0 , where ω\omega is a non-real cube root of unity. Also let α\alpha be a variable point on the circle ∣z+12∣=32,\left|z + \frac12\right| = \frac{\sqrt3}{2} , and let α1\alpha_1, α2\alpha_2 be the values of α\alpha for which ∣α∣|\alpha| is maximum and minimum respectively.
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