Let z1 = 2 – i, z2 = –2 + i. Find:

(i)


(ii)


(i) It is given in the question that,


z1 = 2 – 1 and z2 = - 2 + i


Now, we have:


z1z2 = (2 – i) (- 2 + i)


= - 4 + 2i + 2i – i^2


= - 4 + 4i – (- 1)


= - 3 + 4i


z1 = 2 + i


∴


Now, by multiplying numerator and denominator by (2 – i) we get:



=


=


=


=


Now, on comparing the real parts we get:



(ii) We have,



=


=


Now, on comparing the imaginary parts we get:



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