Let w1, be the point obtained by the rot...

Let `w_1`, be the point obtained by the rotation of `z_1 = 5+ 4i` 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+5i` about the origin through a right angle in the clockwise direction. Then the principal argument of `w_1-w_2` is equal to

A

`pi-tan^-1(8/9)`

B

`-pi+tan^-1(8/9)`

C

`pi-tan^-1(33/5)`

D

`-pi+tan^-1(33/5)`

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