Find the least positive integer 'n' such that `((1+i)/(1-i))^(n) =1`.

Find the least positive integer m such that ((1+i)/(1-i))^(4m)=1 .

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

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

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

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

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

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

The smallest positive integral value of ' n ' such that [(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n) is purely imaginary is

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

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.