Let w₁ be rotation of z₁ = 5 + 4... | JEE Main 2023

JEE MAIN 2023

11-04-2023 S1

Question

Let w1 be the point obtained by the rotation of z1 = 5 + 4i about the origin through a right angle in the anticlockwise direction, and w2 be the point obtained by the rotation of z2 = 3 + 5i about the origin through a right angle in the clockwise direction. Then the principal argument of w1 - w2 is equal to

Select the correct option:

$-\pi+\tan ^{-1} \frac{33}{5}$

$-\pi-\tan ^{-1} \frac{33}{5}$

$-\pi+\tan ^{-1} \frac{8}{9}$

$\pi-\tan ^{-1} \frac{8}{9}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution