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Matrices and Determinants · 2025 · 29 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2025 · 29 Jan · Shift 1
Mathematics
Matrices and Determinants

Matrices and Determinants · 2025 · 29 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

Q28.Let $A = [a_{ij}] = [lo g_{5} 128 lo g_{5} 8 lo g_{4} 5 lo g_{4} 25]$ . If $A_{ij}$ is the cofactor of $a_{ij}$ , $C_{ij} = k = 1 \sum 2 a_{ik} A_{j k}, 1 \leq i, j \leq 2$ …
Mathematics · Matrices and Determinants · MCQ
Q44.Let M and m respectively be the maximum and the minimum values of $f (x) = 1 + sin^{2} x sin^{2} x sin^{2} x cos^{2} x 1 + cos^{2} x cos^{2} x 4 sin 4 x 4 sin 4 x 1 + 4 sin 4 x, x \in R$ …
Mathematics · Matrices and Determinants · MCQ
Q47.Let $S = {m \in Z : A^{m^{2}} + A^{m} = 3 I - A^{- 6}}$ , where $A = [21 - 1 0]$ . Then $n (S)$ is equal to .
Mathematics · Matrices and Determinants · Numerical