यदि ` z = ( 1 + i ) /( sqrt2 ) ` तो ` z^ 6 + z ^ 4 + z ^ 2 + 1 `

If z = i(i + sqrt(2)) , then value of z^(4) + 4z^(3) + 6z^(2) + 4z is

If z_1 = 8 + 4i, z_2 = 6 + 4iand arg ((z-z_1) / (z-z_2)) = pi / 4, then 'z' satisfies 1) | z-7-4i | = 1 2) | z-7-5i | = sqrt (2) 3) | z-4i | = 8 4) | z-7i | = sqrt (18)

Let S={ Z in C : | z - 1|=1 and (sqrt 2 - 1) (z overline z) - i(z - overline z) = 2 sqrt 2} . Let z_1, z_2 be such that |z_1| = max_(z in S) |z| and |z_2| = min_(z in S) |z| . Then |sqrt2 z_1 - z_2|^2 equals:

If | z_ (1) | = | z_ (2) | = | z_ (3) | = 1 & z_ (1) + z_ (2) + z_ (3) = sqrt (2) + i then ((z_ (1) ) / (z_ (2)) + (z_ (2)) / (z_ (3)) + (z_ (3)) / (z_ (4))) =

If | z_ (1) | = | z_ (2) | = | z_ (3) | = 1 & z_ (1) + z_ (2) + z_ (3) = sqrt (2) + i then ((z_ (1) ) / (z_ (2)) + (z_ (2)) / (z_ (3)) + (z_ (3)) / (z_ (4))) =

If z _(1) = 2 sqrt2 (1 + i) and z _(2) = 1 + isqrt3, then z _(1) ^(2) z _(2) ^(3) is equal to

Let z _(1) = 1 + i sqrt3 and z _(2) = 1 + i, then arg ((z _(1))/( z _(2))) is

1.If Z=(1+i)/(sqrt(2)) find the value of Z^(6)+Z^(4)+Z^(2) .