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Maths Determinants Class 12 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 12 · Maths · CBSE

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Chapter 4 Class 12 Determinants | 10 questions | about 8 minutes

Practise Determinants Class 12 with Teachoo's 10 Question MCQ (including Assertion) (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
NCERT Exemplar
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 2 of 10
NCERT Exemplar
If A and B are invertible matrices, then which of the following is not correct?
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Question 3 of 10
NCERT Exemplar
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 4 of 10
NCERT Exemplar
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 5 of 10
NCERT Exemplar
The value of determinant \(\left|\begin{array}{lll}a-b & b+c & a \\ b-a & c+a & b \\ c-a & a+b & c\end{array}\right|\)
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Question 6 of 10
NCERT Exemplar
The area of a triangle with vertices (-3, 0), \((3,0)\) and (0, k) is 9 sq. units. The value of \(k\) will be
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Question 7 of 10
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 8 of 10
NCERT Exemplar
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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Question 9 of 10
NCERT Exemplar
There are two values of \(a\) which makes determinant, \(\Delta=\left|\begin{array}{ccc}1 & -2 & 5 \\ 2 & a & -1 \\ 0 & 4 & 2 a\end{array}\right|=86\), then sum of these number is
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Question 10 of 10
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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