JEE Math Practice Question

Let $$w_{1}$$ be the point obtained by the rotation of $$z_{1}=5+4 i$$ about the origin through a right angle in the anticlockwise direction, and $$w_{2}$$ be the point obtained by the rotation of $$z_{2}=3+5 i$$ about the origin through a right angle in the clockwise direction. Then the principal argument of $$w_{1}-w_{2}$$ is equal to :

1. A.$$-\pi+\tan ^{-1} \frac{8}{9}$$
2. B.$$-\pi+\tan ^{-1} \frac{33}{5}$$
3. C.$$\pi-\tan ^{-1} \frac{8}{9}$$
4. D.$$\pi-\tan ^{-1} \frac{33}{5}$$