If z1 is a complex number other than –1 such that |z1| = 1 and z2 = 
then show that z2 is purely imaginary.
Let z1 = a + ib such that | z1| = √(a2 + b2) = 1
Now, 
Thus, the real part of z2 is 0 and z2 is purely imaginary.
1
If z1 is a complex number other than –1 such that |z1| = 1 and z2 = then show that z2 is purely imaginary.
Let z1 = a + ib such that | z1| = √(a2 + b2) = 1
Now,
Thus, the real part of z2 is 0 and z2 is purely imaginary.