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Matrices and Determinants · 2024 · 4 Apr · Shift 1

4 Mathematics questions from this JEE Main paper

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2024 · 4 Apr · Shift 1
Mathematics
Matrices and Determinants

Matrices and Determinants · 2024 · 4 Apr · Shift 1

4 Mathematics questions from this JEE Main paper

Q33.Let $α \in (0, \infty)$ and $A = 110201 α 12$ . If $det (adj (2 A - A^{T}) \cdot adj (A - 2 A^{T})) = 2^{8}$ …
Mathematics · Matrices and Determinants · MCQ
Q48.If the system of equations $x + (2 sin α) y + (2 cos α) z = 0 x + (cos α) y + (sin α) z = 0 x + (sin α) y - (cos α) z = 0$ has a non-trivial solution,…
Mathematics · Matrices and Determinants · MCQ
Q53.Let $A$ be a square matrix of order 2 such that $∣ A ∣ = 2$ and the sum of its diagonal elements is $-$ 3 . If the points $(x, y)$ satisfying $A^{2} + x A + y I = O$ lie on a hyperbola, whose transverse axis is…
Mathematics · Matrices and Determinants · Numerical
Q55.Let $A$ be a $3 \times 3$ matrix of non-negative real elements such that $A 111 = 3111$ . Then the maximum value of $det (A)$ …
Mathematics · Matrices and Determinants · Numerical