Modulus of a Complex Number (|z| = √(x² + y²))

jee-advancedjee-main

|z| = √(x² + y²)

What each symbol means

SymbolWhat it stands for
xReal part Re(z)
yImaginary part Im(z)
zComplex number x + iy with x, y ∈ ℝ
|z|Distance of point (x,y) from origin in Argand plane

When to use this

For z = x + iy, modulus is non-negative real length from origin. |z| = 0 iff z = 0.