For z=0+4i, find z·conjugate(z).
Note
For a complex number z = a + bi, multiplying by its conjugate gives z·conjugate(z) = a² + b². This is the square of the modulus, so it is always non-negative. Here a = 0 and b = 4. Therefore z·conjugate(z) = (0)² + (4)² = 0 + 16 = 16. So the correct answer is 16.
