Give an example of two complex numbers z1 and z2 such that z1≠ z2 and |z1| = |z2|.

Let z1 = 3 – 4i and z2 = 4 – 3iHere, z1≠ z2Now, calculating the modulus, we get,|z1| |z2|

Q8 of 202 Page 171

Give an example of two complex numbers z₁ and z₂ such that z₁≠ z₂ and |z₁| = |z₂|.

Let z₁ = 3 – 4i and z₂ = 4 – 3i

Here, z₁≠ z₂

Now, calculating the modulus, we get,

|z₁|

|z₂|

Find the real values of θ for which is purely real.

If |z + i| = |z – i|, prove that z is real.

Find the conjugate of each of the following:

(–5 – 2i)

Find the conjugate of each of the following: