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

Complex Numbers and Quadratic Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q3217

JEE Main 202311 Apr, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

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 :

JEE Main 2023 Complex Numbers and Quadratic Equations Question with Solution (11 Apr Morning shift, Q3217) | JEE Arc

JEE Main 2023 · 11 Apr, Morning shift · Q3217

JEE Main 202311 Apr, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

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 :