सम्मिश्र संख्या z के लिए, `z=bar(z)` होगा, यदि-

If z = x + iy, then z bar(z) =

If z=i-1, then bar(z)=

Prove that : z= bar(z) iff z is real.

arg(bar(z))=-arg(z)

Let z_(1), z_(2), z_(3) be three non-zero complex numbers such that z_(1) bar(z)_(2) = z_(2) bar(z)_(3) = z_(3) bar(z)_(1) , then z_(1), z_(2), z_(3)

Suppose z is a complex number such that z ne -1, |z| = 1 and arg(z) = theta . Let w = (z(1-bar(z)))/(bar(z)(1+z)) , then Re(w) is equal to