Home
Class 12
MATHS
The smallest positive integer n for whic...

The smallest positive integer n for which `(1+i)^(n)` is purely imaginary is

A

4

B

2

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

The smallest positive integer n for which (1+i sqrt(3))^(n / 2) is real is

The smallest positive integer for which (1 + i)^(2n)=(1 -l)^(2n) is

If P(n): 2^(n)ltn! Then the smallest positive integer for which P(n) is true, is

If P(n):2^(n) lt n! Then the smallest positive integer for which P(n) is true if

The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2)) is positive is

The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n) is

If (z-1)/(z+1) is purely imaginary, then |z|=

Show that there is no positive integer, n for which sqrt(n-1) + sqrt(n+1) is rational .

The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=