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Complex Numbers · 2013 · Shift 2

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2013 · Shift 2
Mathematics
Complex Numbers

Complex Numbers · 2013 · Shift 2

3 Mathematics questions from this JEE Advanced paper

Q22.Let $ω = \frac{3 + i}{2}$ and $P = {ω^{n} : n = 1, 2, 3, \dots}$ . Further $H_{1} = {z \in C : Re z < \frac{1}{2}}$ and $H_{2} = {z \in C : Re z < \frac{- 1}{2}}$ …
Mathematics · Complex Numbers · Multiple correct
Q36.Let $S = S_{1} \cap S_{2} \cap S_{3}$ , where $S_{1} = {z \in C : ∣ z ∣ < 4}, S_{2} = {z \in C : Im o l imi t s [\frac{z - 1 + 3 i}{1 - 3 i}] > 0}$ and $S_{3} = {z \in C : Re o l imi t s z > 0}$ …
Mathematics · Complex Numbers · MCQ
Q37.Let $S = S_{1} \cap S_{2} \cap S_{3}$ , where $S_{1} = {z \in C : ∣ z ∣ < 4}, S_{2} = {z \in C : Im [\frac{z - 1 + 3 i}{1 - 3 i}] > 0}$ and $S_{3} = {z \in C : Re (z) > 0}$ …
Mathematics · Complex Numbers · MCQ