Complex Numbers Circle (Jee Mains) | ExamDuo
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Algebra and Representation of Complex Numbers
Hard
Complex Numbers Circle
Let z₁ , z₂ and z₃ be three complex numbers on the circle |z| = 1 with arg(z₁) = - π/4, arg(z₂) = 0 and arg(z₃) = π/4. If | z₁
z₂
+ z₂
z₃
+ z₃
z₁
|² = α+β√
2
, α, β ε Z, then the value of α² +β² is:
SELECT ONE OPTION
A
24
B
41
C
31
D
29
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