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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

Let and be two distinct complex numbers and let for some real number , where . If denotes the principal argument of a nonzero complex number then

Answer: (A),(C),(D)

Solution

and with , so lies strictly between and on the segment joining them.

- **(a)** . **True.** - **(b)** is a positive multiple of while is

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Question ID VK-110762