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JEE Advanced 2013 Paper 2

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Paragraph for Questions 53 and 54

Let S = S‌1 ∩ S‌2 ∩ S‌3
S‌1 = {z ∊ C : |z| < 4}, S‌2 = {z∊C:lm[
z−1+√3i
1−√3i
]>0} and
S‌3 : {z ∊ C : Re z > 0}
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