Complex Numbers...

If ω is a cube root of unity , then (1+ω)(1+ω2)(1+ω4)(1+ω8)....... upto 2n factors is

If k , l, m , n are four consecutive integers , then ik+il+im+in is equal to :

The complex number z = x + yi which satisfies the equation  = 1 lies on

Distance of the representative of the number 1 +i from the origin ( in Argand’s diagram ) is

The points 3 + 4i, 3 - 4i, - 4 + 3i, - 4 - 3i are

If |z−2|=|z−6| then locus of z is given by :

If = 1, then

Find the value of (2 + 2 + 2²)² + 5.

Let x,y∈R,then x + iy is a non real complex number if

If α and β are non-real cube roots of unity, then αβ + α⁵ + β⁵ is equal to

If Z = 3√/2+i/2, Z³ then equals

The real value of x will satisfy the equation ), if

If z = x + yi; x, y ∈ R, then locus of the equation z + b = c, where c ∈ R and b ∈ C, b ≠ 0 are fixed, is a/an

If z = , then z⁶⁹ is equal to

If (1 + i) (1 + 2i) (1 + 3i) …… (1 + n i) = x + y i; where x, y  R and n  N, then 2X5X10X…..X (1 + n²) =

If i = , then represent 4 + 5+ 3 ^{into a + ib form.}

If ω is a cube root of unity, then the value of (1 + ω)(1 + ω²)(1 + ω⁴)(1 + ω⁸) ...... up to 2n factors is

Distance of the representative of the number 1 +i from the origin ( in Argand’s diagram ) is

If |z−2|=|z−6| then locus of z is given by :

The complex number z is such that │z│ = 1, z ≠ - 1 and w = (z - 1)/(z + 1). The real part of w is

2√-9,√−16, is equals to

The expression (1 + i)²ⁿ + (1 - i)²ⁿ, n  N, is

Which one of the following equations has the root a  b?

If w is the complex cube root of unity, then {(a + b w + c w² )/(c + a w + b w²)} + {(c + a w + b w² )/(a + bw + cw²)} + {(b + cw + aw²)/(b + cw + aw ²)} =

If z₁andz₂ are non real complex numbers such that z₁+z₂andz₁z₂ are real numbers , then