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Complex Numbers · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2024 · 29 Jan · Shift 1
Mathematics
Complex Numbers

Complex Numbers · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q45.If $z = \frac{1}{2} - 2 i$ is such that $∣ z + 1∣ = α z + β (1 + i), i = - 1$ and $α, β \in R$ , then $α + β$ is equal to
Mathematics · Complex Numbers · MCQ
Q58.Let $α, β$ be the roots of the equation $x^{2} - x + 2 = 0$ with $Im (α) > Im (β)$ . Then $α^{6} + α^{4} + β^{4} - 5 α^{2}$ is equal to .
Mathematics · Complex Numbers · Numerical