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Mathematics Question on Complex Numbers and Quadratic Equations

The modulus of (1+i1−i)75−(1−i1+i)75(\frac{1+i}{1-i})^{75}-(\frac{1-i}{1+i})^{75}is

A

1

B

2

C

12\frac{1}{2}

D

4

E

16

Answer

2

Explanation

Solution

The correct option is (B) : 2