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Q.

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

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a

Z1=Z2

b

|Z2|2=Z1.Z2

c

Z1.Z2=1

d

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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