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Complex Numbers · 2021 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2021 · Shift 1
Mathematics
Complex Numbers

Complex Numbers · 2021 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q23.Let $θ_{1}, θ_{2}, \dots, θ_{10}$ be positive valued angles (in radian) such that $θ_{1} + θ_{2} + \dots + θ_{10} = 2 π$ . Define the complex numbers $z_{1} = e^{i θ_{1}}, z_{k} = z_{k - 1} e^{i θ_{k}}$ for $k=2,3, \ldots,…
Mathematics · Complex Numbers · MCQ
Q35.For any complex number w = c + id, let $ar g (w) \in (- π, π]$ , where $i = - 1$ . Let $α$ and $β$ be real numbers such that for all complex numbers z = x + iy satisfying $ar g (\frac{z + α}{z + β}) = \frac{π}{4}$ …
Mathematics · Complex Numbers · Multiple correct