Home
Class 12
MATHS
Find the integral values of n for the eq...

Find the integral values of n for the equations :
(a) `(1+i)^(n)=(1-i)^(n)`
(b) `(1-i)^(n)=2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
`n=4k, k in I`
`n=0`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

The least positive integral value of n for which ((1+i)/(1-i))^(n) is real :

Write the least positive integral value of n for which ((1+i)/(1-i))^(n) is real.

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

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

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

Find the lowest value of n such that ((1-i)/(1+i))^(n^(2))=1 , where n in N .