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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 w 1 – w 2 is equal to :

1.  – tan –1 9 8
2. –  + tan –1 5 33
3. –  + tan –1 9 8
4.  – tan –1 5 33 CAREER POINT CAREER POINT CAREER POINT Ltd., CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 081-47250011 www.careerpoint.ac.in 10 JEE Main Online P aper

Correct answer:  – tan –1 9 8

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