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AIEEE 2007

JEE Main 2007 Mathematics question on Complex Numbers and Quadratic Equations

A man walks a distance of 3 units from the origin towards the North-East (N 45° E) direction. From there, he walks a distance of 4 units towards the North-West (N 45° W) direction to reach a point PP. Then, the position of PP in the Argand plane is
  1. A.
    (3eiπ/4+4i)(b (3−4i)eiπ/4(3e^{i\pi/4} + 4i)(b\ (3-4i)e^{i\pi/4}
  2. B.
    (3−4i)eiπ/4(3-4i)e^{i\pi/4}
  3. C.
    (3+4i)eiπ/4(3+4i)e^{i\pi/4}
  4. D.
    (4+3i)eiπ/4(4+3i)e^{i\pi/4}
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Correct option: D

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