The modulus of (1-i)/(3+i) + (4i)/5 is
The modulus of (1-i)/(3+i) + (4i)/5 is
If (1+i)²/(2-i) = x + iy, then x + y equals
If (1+i)²/(2-i) = x + iy, then x + y equals
In which quadrant does (1 + 2i)/(1 - i) lie?
In which quadrant does (1 + 2i)/(1 - i) lie?
The modulus and amplitude of (1 + i√3)⁸ are respectively
The modulus and amplitude of (1 + i√3)⁸ are respectively
If |z - 4/z| = 2, then the maximum value of |z| is equal to
If |z - 4/z| = 2, then the maximum value of |z| is equal to
If square root of -7 +24i is x+iy , then x is
If square root of -7 +24i is x+iy , then x is
If ω is the complex cube root of unity, then (3 + 5ω + 3ω²)² + (3 + 3ω + 5ω²)² = [MHT-CET 2021]
If ω is the complex cube root of unity, then (3 + 5ω + 3ω²)² + (3 + 3ω + 5ω²)² = [MHT-CET 2021]
The square roots of -7 - 24√(-1) are
The square roots of -7 - 24√(-1) are
The smallest positive integer n for which ((1 + i)/(1 - i))ⁿ = 1 is
The smallest positive integer n for which ((1 + i)/(1 - i))ⁿ = 1 is
If z is a complex number such that Re(z) = Im(z), then
If z is a complex number such that Re(z) = Im(z), then
If α and β are different complex numbers with |β| = 1, then |(β - α)/(1 - ᾱβ)| is
If α and β are different complex numbers with |β| = 1, then |(β - α)/(1 - ᾱβ)| is
Let z = (11 - 3i)/(1 + i). If α is real such that z - iα is real, then α =
Let z = (11 - 3i)/(1 + i). If α is real such that z - iα is real, then α =