Number of integral values of n that satisfies `|(3)/(n-1)|`>1 is

Number of integral values of x satisfying function f(x)=log(x-1)+log(3-x)

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

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

Write 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.

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

If N is the number of positive integral solutions of the equation x_(1)x_(2)x_(3)x_(4)=770 , then the value of N is

The smallest positive integral value of n for which (1+sqrt3i)^(n/2) is real is

If z=x+iy (x, y in R, x !=-1/2) , the number of values of z satisfying |z|^n=z^2|z|^(n-2)+z |z|^(n-2)+1. (n in N, n>1) is

The positive integer value of n >3 satisfying the equation 1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s