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  4. If (π/3) and (π/4) are arguments of z1 and barz2 then the value of arg (z1 z2) is

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Q. If $\frac{\pi}{3}$ and $\frac{\pi}{4}$ are arguments of $z_{1}$ and $\bar{z}_{2}$ then the value of $\arg \left(z_{1} z_{2}\right)$ is

Complex Numbers and Quadratic Equations

Solution:

$\arg \left(z_{1} z_{2}\right)=\arg \left(z_{1}\right) + \arg \left(z_{2}\right)=\frac{\pi}{3}-\frac{\pi}{4}=\frac{\pi}{12}$