JEE Math Practice Question

Let a circle C in complex plane pass through the points $${z_1} = 3 + 4i$$, $${z_2} = 4 + 3i$$ and $${z_3} = 5i$$. If $$z( \ne {z_1})$$ is a point on C such that the line through z and z1 is perpendicular to the line through z2 and z3, then $$arg(z)$$ is equal to :

1. A.$${\tan ^{ - 1}}\left( {{2 \over {\sqrt 5 }}} \right) - \pi $$
2. B.$${\tan ^{ - 1}}\left( {{{24} \over 7}} \right) - \pi $$
3. C.$${\tan ^{ - 1}}\left( 3 \right) - \pi $$
4. D.$${\tan ^{ - 1}}\left( {{3 \over 4}} \right) - \pi $$