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Matrices and Determinants · 2025 · 29 Jan · Shift 2

3 Mathematics questions from this JEE Main paper

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2025 · 29 Jan · Shift 2
Mathematics
Matrices and Determinants

Matrices and Determinants · 2025 · 29 Jan · Shift 2

3 Mathematics questions from this JEE Main paper

Q27.Let $A = [a_{ij}]$ be a $2 \times 2$ matrix such that $a_{ij} \in {0, 1}$ for all $i$ and $j$ . Let the random variable $X$ denote the possible values of the determinant of the matrix $A$ . Then, the variance of $X$ is:
Mathematics · Matrices and Determinants · MCQ
Q31.Let $α, β (α e q β)$ be the values of $m$ , for which the equations $x + y + z = 1$ , $x + 2 y + 4 z = m$ and $x + 4 y + 10 z = m^{2}$ have infinitely many solutions. Then the value of $n = 1 \sum 10 (n^{α} + n^{β})$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q39.Let $A = [a_{ij}]$ be a matrix of order $3 \times 3$ , with $a_{ij} = (2)^{i + j}$ . If the sum of all the elements in the third row of $A^{2}$ is $α + β 2, α, β \in Z$ , then…
Mathematics · Matrices and Determinants · MCQ