Unanswered Complex Numbers Questions

The values of x and y satisfying the equation frac{{(1 + i),x - 2i}}{{3 + i}} + frac{{(2 - 3i),y + i}}{{3 - i}} = i, are ...

If {left( {frac{{1 + i}}{{1 - i}}} ight)^m} = 1, then the least integral value of m is ...

{i^2} + {i^4} + {i^6} + ..... upto (2n+1) terms = ...

If x + frac{1}{x} = sqrt 3 , then x = ...

The least positive integer n which will reduce {left( {frac{{i - 1}}{{i + 1}}} ight)^n} to a real number, is ...

The value of {i^{1 + 3 + 5 + ... + (2n + 1)}} is ...

For a positive integer n, the expression {(1 - i)^n}{left( {1 - frac{1}{i}} ight)^n} equals ...

A square root of 2i is ...

If {( - 7 - 24i)^{1/2}} = x - iy, then {x^2} + {y^2} = ...

sqrt 3Â + i = ...

If frac{{c + i}}{{c - i}} = a + ib, where a, b, c are real, then {a^2} + {b^2} = ...

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, prove that arg(z1/z4) + arg(z2/z3) = 0. ...