Q18 of 66 Page 91

If z1, z2 and z3, z4 are two pairs of conjugate complex numbers, then find

Given z1 and z2 are conjugate complex numbers.


⇒ z2 = z̅ 1 = |z|/2pi is,


he negative side of the real axis


= r1 (cos θ1 - i sin θ1)


= r1 [cos (-θ1) + I sin (-θ1)]


Similarly, z3 = r2 (cos θ2 - i sin θ2)


⇒ z4 = r2 [cos (-θ2) + I sin (-θ2)]



= θ1 – (-θ2) + (-θ1) – θ2


= θ1 + θ2 – θ1 – θ2


= 0



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