JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let z₁ and z₂ be any two non-zero complex numbers such that $3 ∣ z_{1} ∣ = 2 ∣ z_{2} ∣$ If $z = \frac{3 z _{1}}{2 z _{2}} + \frac{2 z _{2}}{3 z _{1}}$ then :

A
$∣ z ∣ = \frac{1}{2} \frac{17}{2}$
B
$Re (z) = 0$
C
$∣ z ∣ = \frac{5}{2}$
D
$Im (z) = 0$

Solution

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