If z_1, z_2 are two distinct complex number such that {| {z_1-2 z_2}/{\frac{1}{2}-z_1 \overline{z}_2} |}=2, then [6 Apr 2024 Shift 2]

Correct Answer is : either z1 lies on a circle of radius 1 or z2 lies on a circle of radius 12

either z_1 lies on a circle of radius 1 or z_2 lies on a circle of radius \frac{1}{2}

either z_1 lies on a circle of radius \frac{1}{2} or z_2 lies on a circle of radius 1 .

z_1 lies on a circle of radius \frac{1}{2} and z_2 lies on a circle of radius 1 .

both z_1 and z_2 lie on the same circle.

JEE Main 6 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

If z1,z2 are two distinct complex number such that |‌

z1−2z2

−z1z2

|=2, then

[6 Apr 2024 Shift 2]

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