JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

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

w_1-w_2

is equal to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because it represents the principal argument of the complex number

w_1 - w_2

, calculated using rotations in the complex plane.

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