Home
Class 11
MATHS
For a positive integer n , find the valu...

For a positive integer `n` , find the value of `(1-i)^n(1-1/i)^n`

A

`2^(n)`

B

`(1)/(2^(n))`

C

`0`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS FILL IN THE BLANKS (B)|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS TRUE/FALSE QUESTIONS (C)|5 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (j) Long Answer Type Questions|12 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

For any positive integer n, find the value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)+i^(n+4)+i^(n+5)+i^(n+6)+i^(n+7) .

For a positive integer n, what is the value of i^(4n+1) ?

For positive integer n_1,n_2 the value of the expression (1+i)^(n1) +(1+i^3)^(n1) (1+i^5)^(n2) (1+i^7)^(n_20), where i=sqrt-1, is a real number if and only if (a) n_1=n_2+1 (b) n_1=n_2-1 (c) n_1=n_2 (d) n_1 > 0, n_2 > 0

Find the value of : (1+i)^n, n inN

If n is any positive integer,write the value of (i^(4n+1)-i^(4n-1))/(2)

If rArr I_(n)=int_(0)^(pi//4) tan ^(n)x dx , then for any positive integer, n, the vlau of (I_(n+1)-I_(-1)) is,

If (sqrt(3)+i)^(n)=x_(n)+iy_(n) and n is a positive integer then the value of x_(n-1)y_(n)-x_(n)y_(n-1)=

If n be a positive integer, then prove that (1+i)^n+(1-i)^n=2^(n/2+1)."cos"((npi)/4)

Find the smallest positive integer value of n for which ((1+i)^(n-2))/((1-i)^(n-2)) is a real number.