JEE Main 2025 Mathematics question

MathematicsComplex NumbersJEE Main 2025

Let z1, z2 and z3 be three complex numbers on the circle |z| = 1 with arg (z1) = , arg(z2) = 0 and arg(z3) = . If , α, β ∈ Z, then the value of α² + β² is :

Answer: (4)

Solution

Computing gives α=5, β=-2, so α²+β²=29.

Question ID VK-001671