if `(2z-n)/(2z+n)=2i-1,n in N in N` and `IM(z)=10`, then

(1+i)^(2 n)+(1-i)^(2 n), n in z is

If n (ne 3) is an integer and z = -1 + isqrt3 , then z^(2n) + 2^(n) , z^(n) + 2^(2n) =

f:Z rarr Z and g:Z rarr Z are defined as follows: f(n)=(n+2, n even and 2n-1, n odd and g(n)=(2n, n even and (n-1)/(2),n odd,Find fog and gof

If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3), then z_(1), z_(2) …. Z_(6) is

If tan A = 1, tan B = 2, tan C = 3, then A+B+C = (i) (n pi)/(2); n in Z (ii) (n pi); n in Z ( iii) (n pi)/(4); n in Z (iv) (2n pi)/(3); n in Z

If n is an integer and z=-1+isqrt3," then "z^(2n)+2^(n).z^(n)+2^(2n)

If z_(1),z_(2),……………,z_(n) lie on the circle |z|=R , then |z_(1)+z_(2)+…………….+z_(n)|-R^(2)|1/z_(1)+1/z_(2)+…….+1/z-(n)| is equal to