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Matrices and Determinants · 2024 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2024 · Shift 1
Mathematics
Matrices and Determinants

Matrices and Determinants · 2024 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q23.Let $R^{2}$ denote $R \times R$ . Let $S = {(a, b, c) : a, b, c \in R and a x^{2} + 2 b x y + c y^{2} > 0 for all (x, y) \in R^{2} - {(0, 0)}} .$ Then which of the following…
Mathematics · Matrices and Determinants · Multiple correct
Q27.Let $S = ⎩ ⎨ ⎧ A = 011 1 a b c d e : a, b, c, d, e \in {0, 1}$ and $∣ A ∣ \in {- 1, 1}}$ , where $∣ A ∣$ denotes the determinant of $A$ . Then…
Mathematics · Matrices and Determinants · Numerical
Q31.Let $α$ and $β$ be the distinct roots of the equation $x^{2} + x - 1 = 0$ . Consider the set $T = {1, α, β}$ . For a $3 \times 3$ matrix $M = (a_{ij})_{3 \times 3}$ , define $R_{i} = a_{i 1} + a_{i 2} + a_{i 3}$ and $C_{j} = a_{1 j} + a_{2 j} + a_{3 j}$ … Includes table
Mathematics · Matrices and Determinants · MCQ