Mathematics - Complex Number Question with Solution | TestHub

Let $\lambda ,z_0$ be two complex numbers. $A\left(z_1\right),B\left(z_2\right),C\left(z_3\right)$ be the vertices of a triangle such that $z_1=z_0+\lambda ,z_2=z_0+\lambda e^{i\pi /4},z_3=z_0+\lambda e^{i7\pi /11}$ and $\angle ABC=\frac{3k\pi }{22}$ then the value of $k$ is