If Z1,Z2 are two complex numbers, z1z2=1and arg(Z1Z2)=0 then

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Z1=Z2

|Z2|2=Z1.Z2

Z1.Z2=1

Z1=2Z2

answer is B.

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Detailed Solution

given that z1=z2 and argz1z2=0 ⇒arg z1+arg z2=0 ⇒ arg z1=-arg z2 =arg z2¯ z2¯=z2¯ argz2¯ =z2argz1 =z1argz1 =z1 now z22=z2z2 ¯ =z2z1

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