Q. The smallest positive integer $n$ for which $(1 + i)^{2n} = (1 - i)^{2n}$ is
A) 1
B) 2
C) 3
D) 4
Explanation
(b)
Given, $(1 + i)^{2n} = (1 - i)^{2n}$
$\Rightarrow \ \ 2^{n}i^{n} = 2^{n}( - 1)^{n}i^{n}\ \ \ \Rightarrow \ \ \ 1 = ( - 1)^{n}$
$\therefore$ The smallest value of $n$ is 2
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.