If n is a positive integer greater than unity z is a complex number satisfying the equation `z^n=(z+1)^n,` then

The complex number z satisfying the equation |z-i|=|z+1|=1

The complex number z satisfying the equation |z-i|=|z+1|=1 is

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

Let n be a positive integer and a complex number with unit modulus is a solution of the equation Z^n+Z+1=0 , then the value of n can be

Let n be a positive integer and a complex number with unit modulus is a solution of the equation Z^n+Z+1=0 , then the value of n can be

Find the locus of complex number z, stisfying ( z + 1)^(n) = z^(n)

Find the locus of complex number z, stisfying ( z + 1)^(n) = z^(n)

If n is an odd positive integer and x,y,z are distinct then the number of distinct terms in the expansion of (x+y+z)^(n)+(x-y-z)^(n) is

If n is a positive integer, prove that |I m(z^n)|lt=n|Im(z)||z|^(n-1.)