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Let be the point obtained by the rotation of about the origin through a right angle in the anticlockwise direction, and be the point obtained by the rotation of about the origin through a right angle in the clockwise direction. Then the principal argument is equal to
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The correct answer is:
Given,
Two complex numbers
and are both rotated by with respect to origin anticlock-wise and clockwise respectively,
So by concept of rotation we get,
And
Now principal argument of will be {as complex number is in second quadrant so principal argument is given by }
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