Let z and w be Two Non Zero Complex Numbers Such That |z| = |w| and arg(z) + arg(w) = pi, then z is

The Inequality |z - 4| is less than |z - 2| Represents the Region Given by...

The Complex Numbers z = x + iy, which satisfy the equation |(z - 5i)/(z + 5i)| = 1 lies on...

If z = x + iy, and w = (1 - iz)/(z - i), then |w| = 1 implies that, in the complex plane

For Positive Integers n₁, n₂ The Value of The Expression (1 + i)ⁿ₁ + (1 + i³)ⁿ₁ + (1 + i⁵)ⁿ₂ + ...

If z = (√3/2 + i/2)⁵ + (√3/2 - i/2)⁵, then (A) Re(z) = 0 (B) Im(z) = 0 (C) Re(z) is Greater Than 0..

Let z and w be Two Non Zero Complex Numbers Such That |z| = |w| and arg(z) + arg(w) = pi, Then z is

The Points z₁, z₂, z₃, and z₄ in The Complex Plane Are The Vertices of a Parallelogram Taken in...

The Smallest Positive Integer n for Which ((1 + i)/(1 - i))ⁿ = 1 is (A) 8 (B) 16 (C) 12 (D) NOT

If the Cube Roots of Unity are 1, w, and w², Then The Roots of The Equation (x - 1)² + 8 = 0 are...

Suppose z₁, z₂, and z₃ Are the Vertices of an Equilateral Triangle Inscribed in The Circle |z| = 2

ABCD is a Rhombus. Its Diagonals AC and BD Intersect at M and satisfy BD = 2AC. If the Points D...

If a, b, c are the numbers between 0 and 1, such that the points z₁ = a + i, z₂ = 1 + ib, and z₃ = 0

For Any Two Complex Numbers z₁, z₂, and Any Real Numbers a and b, |az₁ - bz₂|² + |bz₁ + az₂|² is...