Q. 15.0( 6 Votes )

Express each of the following in the form (a + ib) and find its conjugate.

(i)

(ii) (2 + 3i)2

(iii)

(iv)

(v)

(vi)

Answer :

(i) Let



(ii) Let z = (2 + 3i)2 = (2 + 3i)(2 + 3i)


= 4 + 6i + 6i + 9i2


= 4 + 12i + 9i2


= 4 + 12i - 9


= - 5 + 12i



(iii) Let



=





(iv) Let






(v) Let






(vi) Let









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