Let z₁ and z₂ be any two non-zero complex numbers such that 3|z₁| = 4|z₂| . If z = (3z₁/2z₂) + (2z₂/3z₁) then:
(A) Re(z) = 0 (B) |z| = √(5/2)
(C) |z| = (1/2)√(17/2)
(D) Im(z) = 0
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Answer:
option (D) is correct.
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