Home
Class 12
MATHS
If ((1+i)/(1-i))^x = 1, then...

If `((1+i)/(1-i))^x = 1,` then

A

`x=2n+1`

B

`x=4n`

C

`x=2n`

D

`x=4n+1`, where `x in N`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|58 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

((1-i)/(1+i))^(2)=

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

If ((1-i)/(1+i))^(96)=a+ib , then (a,b) is

If ((1-i)/(1+i))^(96)=a+ib , then (a,b) is

If ((1+i)/(1-i))^(3)-((1-i)/(1+i))^(3)=x+i y then (x, y)=

The value of ((1+i)/(1-i))^(4 n)=

If the conjugate of (x + iy) ( 1 - 2i) is 1 + i , then

(1 + i)^5 + (1 - i)^5 =

(1+i)^(4)+(1-i)^(4)=