Mathematics - Complex Number Question with Solution | TestHub

Let a circle$C$in complex plane pass through the points$z_1=3+4i,z_2=4+3i$and$z_3=5i$. If$z\left(\ne z_1\right)$is a point on$C$such that the line through$z$and$z_1$is perpendicular to the line through$z_2$and$z_3$, then$\arg \left(z\right)$is equal to