The smallest positive integer n for which (1+i)^n (1-i)^ n-2 is a real number, is ...

MHT CET 2026 Mathematics question

The smallest positive integer for which is a real number, is ...

Answer: (A)

Write . Now and , so the expression equals . This is real exactly when is real, i.e. when is even, i.e. is odd.

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-101059