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Complex Numbers · 2024 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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PYQ Library
JEE Advanced
Papers
2024 · Shift 1
Mathematics
Complex Numbers

Complex Numbers · 2024 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q22.Let $S = {a + b 2 : a, b \in Z}, T_{1} = {(- 1 + 2)^{n} : n \in N}$ , and $T_{2} = {(1 + 2)^{n} : n \in N}$ . Then which of the following statements is (are) TRUE?
Mathematics · Complex Numbers · Multiple correct
Q26.Let $f (x) = x^{4} + a x^{3} + b x^{2} + c$ be a polynomial with real coefficients such that $f (1) = - 9$ . Suppose that $i 3$ is a root of the equation $4 x^{3} + 3 a x^{2} + 2 b x = 0$ , where $i = - 1$ . If $α_{1}, α_{2}, α_{3}$ , and $α_{4}$ …
Mathematics · Complex Numbers · Numerical