if z is a complex number and |z|=1 then prove that z-1/z+1 is a purely imaginary number Share with your friends Share 16 Aakash Sharma answered this Let z = x + iyGiven : IzI = 1⇒ IzI2 = 1⇒ x2 + y2 = 1Now,which is purely imaginary 94 View Full Answer