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Maths Determinants Class 12 MCQ Questions

NCERT Exemplar MCQ Quiz · Class 12 · Maths · CBSE

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Chapter 4 Class 12 Determinants | 7 questions | about 6 minutes

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

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Question 1 of 7
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Question 1 of 7
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 7
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If A, B and C are angles of a triangle, then the determinant \(\left|\begin{array}{ccc}-1 & \cos \mathrm{C} & \cos \mathrm{B} \\ \cos \mathrm{C} & -1 & \cos \mathrm{~A} \\ \cos \mathrm{~B} & \cos \mathrm{~A} & -1\end{array}\right|\) is equal to
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Question 3 of 7
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If \(f(x)=\left|\begin{array}{ccc}0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0\end{array}\right|\), then
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Question 4 of 7
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The determinant \(\left|\begin{array}{lll}b^2-a b & b-c & b c-a c \\ a b-a^2 & a-b & b^2-a b \\ b c-a c & c-a & a b-a^2\end{array}\right|\) equals
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Question 5 of 7
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If \(x, y, z\) are all different from zero and \(\left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z\end{array}\right|=0\), then value of \(x^{-1}+y^{-1}+z^{-1}\) is
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Question 6 of 7
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The number of distinct real roots of \(\left|\begin{array}{ccc}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0\) in the interval \(-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}\) is
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Question 7 of 7
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If \(\mathrm{A}=\left[\begin{array}{ccc}2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]\), then \(\mathrm{A}^{-1}\) exists if
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This NCERT Exemplar MCQ Quiz covers Determinants Class 12 for Class 12 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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