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Maths Determinants Class 12 MCQ and Assertion Questions

Short Quiz · Class 12 · Maths · CBSE

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Chapter 4 Class 12 Determinants | 5 questions | about 4 minutes

Practise Determinants Class 12 with Teachoo's Short Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
NCERT Exemplar
If \(x, y \in \mathbf{R}\), then the determinant \(\Delta=\left|\begin{array}{ccc}\cos x & -\sin x & 1 \\ \sin x & \cos x & 1 \\ \cos (x+y) & -\sin (x+y) & 0\end{array}\right|\) lies in the interval
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Question 2 of 5
If \(A\) is an invertible matrix of order 2 , then \(\operatorname{det}\left(A^{-1}\right)\) is equal to
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Question 3 of 5
CBSE Board Exam 2024
If \(A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 5\end{array}\right]\), then \(A^{-1}\) is :
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Question 4 of 5
CBSE Board Exam 2024
Let \(\mathrm{A}=\left[\begin{array}{ll}\mathrm{a} & \mathrm{b} \\ \mathrm{c} & \mathrm{d}\end{array}\right]\) be a square matrix such that adj \(\mathrm{A}=\mathrm{A}\). Then, \((\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d})\) is equal to :
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Question 5 of 5
The maximum value of \(\Delta=\left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & 1+\sin \theta & 1 \\ 1+\cos \theta & 1 & 1\end{array}\right|\) is \((\theta\) is real number \()\)
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