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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 value of the determinant \(\left|\begin{array}{ccc}x & x+y & x+2 y \\ x+2 y & x & x+y \\ x+y & x+2 y & x\end{array}\right|\) is
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Question 2 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 3 of 10
CBSE Board Exam 2026
If \(\mathrm{A}(\operatorname{adj} \mathrm{A})=\left[\begin{array}{ccc}2026 & 0 & 0 \\ 0 & 2026 & 0 \\ 0 & 0 & 2026\end{array}\right]\), then the value of \(|\operatorname{adj} \mathrm{A}|\) is equal to :
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Question 4 of 10
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 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 6 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 7 of 10
NCERT Exemplar
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 8 of 10
If \(A=\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]\), then \(14 A^{-1}\) is given by:
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Question 9 of 10
If \(A\) is an invertible matrix of order 2 , then \(\operatorname{det}\left(A^{-1}\right)\) is equal to
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Question 10 of 10
NCERT Exemplar
Let \(f(t)=\left|\begin{array}{ccc}\cos t & t & 1 \\ 2 \sin t & t & 2 t \\ \sin t & t & t\end{array}\right|\), then \(\lim _{t \rightarrow 0} \frac{f(t)}{t^2}\) is equal to
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