Q9 of 202 Page 171

Find the conjugate of each of the following:

Given:

First, we calculate and then find its conjugate

Now, rationalizing

…(i)

Now, we know that,

(a + b)(a – b) = (a² – b²)

So, eq. (i) become

[∵ i² = -1]

Hence,

So, a conjugate of is

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

Find the conjugate of each of the following:

(–5 – 2i)

Find the conjugate of each of the following: