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Q.

Let Z1,Z2  are complex numbers, Z1¯−2Z2¯2−Z1Z2¯=1  and |Z2|≠1  where |Z1|=______

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a

1

b

2

c

3

d

4

answer is B.

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Detailed Solution

|Z1¯−2Z2¯|2=|2−Z1.Z2¯|2 ⇒(Z1−2Z2)(Z1¯−2Z2¯)=(2−Z1Z2¯)(2−Z1Z2)⇒|Z1|2+4|Z2|2=4+|Z1|2.|Z2|2⇒z1=2
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Let Z1,Z2  are complex numbers, Z1¯−2Z2¯2−Z1Z2¯=1  and |Z2|≠1  where |Z1|=______