MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Set-B
Matrices Class 12 Maths MCQs Questions with Answers
Check the below NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Matrices Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.
Class 12 Maths Chapter 3 Quiz
Class 12 Maths Chapter 3 MCQ Online Test
You can refer to NCERT Solutions for Class 12 Maths Chapter 3 Matrices to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
Matrices Class 12 Maths MCQ online test
| Q1. | If A = \( \left[\begin{array}{ccc} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{array}\right]\) yhen A-1 exists if |
A. λ = 2 |
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B. λ ≠ 2 |
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C. λ ≠ -2 |
|
D. none of these |
Ans: none of these
| Q2. | If A = \(\left[\begin{array}{cc} α & 2 \\ 2 & α \end{array}\right]\) and |A³| = 25 then α is |
A. ±3 |
|
B. ±2 |
|
C. ±5 |
|
D. 0 |
Ans: ±3
| Q3. | A² – A + I = 0 then the inverse of A |
A. A |
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B. A + I |
|
C. I – A |
|
D. A – I |
Ans: I – A
| Q4. | If A = \(\left[\begin{array}{cc} 2 & 3 \\ 1 & -4 \end{array}\right]\) and B = \(\left[\begin{array}{cc} 1 & -2 \\ -1 & 3 \end{array}\right]\) then find (AB)-1 |
A. \(\frac{1}{11}\) \(\left[\begin{array}{cc} 14 & 5 \\ 5 & 1 \end{array}\right]\) |
|
B. \(\frac{1}{11}\) \(\left[\begin{array}{cc} 14 & -5 \\ -5 & 1 \end{array}\right]\) |
|
C. \(\frac{1}{11}\) \(\left[\begin{array}{cc} 1 & 5 \\ 5 & 14 \end{array}\right]\) |
|
D. \(\frac{1}{11}\) \(\left[\begin{array}{cc} 1 & -5 \\ -5 & 14 \end{array}\right]\) |
Ans: \(\frac{1}{11}\) \(\left[\begin{array}{cc}
14 & 5 \\
5 & 1
\end{array}\right]\)
14 & 5 \\
5 & 1
\end{array}\right]\)
| Q5. | If A = \(\left[\begin{array}{cc} 3 & 1 \\ -1 & 2 \end{array}\right]\) then A² – 5A – 7I is |
A. zero matrix |
|
B. a diagonal matrix |
|
C. identity matrix |
|
D. None of these |
Ans: a diagonal matrix
| Q6. | If A = \(\left[\begin{array}{cc} \cos x & -\sin x \\ \sin x & \cos x \end{array}\right]\) then A + AT = I if the value of x is |
A. \(\frac{π}{6}\) |
|
B. \(\frac{π}{3}\) |
|
C. π |
|
D. 0 |
Ans: \(\frac{π}{3}\)
| Q7. | If \(\left[\begin{array}{cc} x+y & y \\ 2x & x-y \end{array}\right]\) \(\left[\begin{array}{c} 2 \\ -1 \end{array}\right]\) \(\left[\begin{array}{c} 3 \\ 2 \end{array}\right]\) then xy equal to |
A. -5 |
|
B. -4 |
|
C. 4 |
|
D. 5 |
Ans: -5
| Q8. | If A = \(\left[\begin{array}{cc} 1 & 2 \\ 4 & 2 \end{array}\right]\) then |2A| = |
A. 2|A| |
|
B. 4|A| |
|
C. 8|A| |
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D. None of these |
Ans: 4|A|
| Q9. | If A = \(\left[\begin{array}{cc} a & b \\ c & d \end{array}\right]\) then A² is equal to |
A. \(\left[\begin{array}{cc} a^{2} & b^{2} \\ c^{2} & d^{2} \end{array}\right]\) |
|
B. \(\left[\begin{array}{cc} b^{2}+bc & ab+bd \\ ac+dc & dc+d^{2} \end{array}\right]\) |
|
C. \(\left[\begin{array}{cc} a^{3} & b^{3} \\ c^{3} & d^{3} \end{array}\right]\) |
|
D. None of these |
Ans: \(\left[\begin{array}{cc}
b^{2}+bc & ab+bd \\
ac+dc & dc+d^{2}
\end{array}\right]\)
b^{2}+bc & ab+bd \\
ac+dc & dc+d^{2}
\end{array}\right]\)
| Q10. | \(\left[\begin{array}{cc} \cos \theta & -\sin \theta \\ -\sin \theta & \cos \theta \end{array}\right]\) is inverse of |
A. \(\left[\begin{array}{cc} -\cos \theta & -\sin \theta \\ -\sin \theta & \cos \theta \end{array}\right]\) |
|
B. \(\left[\begin{array}{cc} \cos \theta & \sin \theta \\ \sin \theta & -\cos \theta \end{array}\right]\) |
|
C. \(\left[\begin{array}{cc} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{array}\right]\) |
|
D. None of these |
Ans: \(\left[\begin{array}{cc}
\cos \theta & \sin \theta \\
-\sin \theta & \cos \theta
\end{array}\right]\)
\cos \theta & \sin \theta \\
-\sin \theta & \cos \theta
\end{array}\right]\)
| Q11. | A = \(\left[\begin{array}{cc} a & b \\ b & a \end{array}\right]\) and A² = \(\left[\begin{array}{cc} α & β \\ β & α \end{array}\right]\) then |
A. α = a² + b², β = ab |
|
B. α = a² + b², β = 2ab |
|
C. α = a² + b², β = a² – b² |
|
D. α = 2ab, β = a² + b² |
Ans: α = a² + b², β = 2ab
| Q12. | The matrix \(\left[\begin{array}{ccc} 2 & -1 & 4 \\ 1 & 0 & -5 \\ -4 & 5 & 7 \end{array}\right]\) is |
A. a symmetric matix |
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B. a skew-sybtmetric matrix |
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C. a diagonal matrix |
|
D. None of these |
Ans: None of these
| Q13. | If a matrix is both symmetric matrix and skew symmetric matrix then |
A. A is a diagonal matrix |
|
B. A is zero matrix |
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C. A is scalar matrix |
|
D. None of these |
Ans: A is zero matrix
| Q14. | If \(\left[\begin{array}{cc} x+y & 3 \\ 4 & x-y \end{array}\right]\) = \(\left[\begin{array}{cc} 1 & 3 \\ 4 & -3 \end{array}\right]\) then (x, y) is |
A. (-1, 2) |
|
B. (-1, -2) |
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C. (-2, -1) |
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D. (1, -2) |
Ans: (-1, 2)
| Q15. | The matrix P = \(\left[\begin{array}{ccc} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{array}\right]\) is |
A. square matrix |
|
B. diagonal matrix |
|
C. unit matrix |
|
D. None of these |
Ans: square matrix
| Q16. | Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is |
A. 9 |
|
B. 27 |
|
C. 81 |
|
D. 512 |
Ans: 512
| Q17. | If \(\left[\begin{array}{cc} 2x+y & 4x \\ 5x-7 & 4x \end{array}\right]\) = \(\left[\begin{array}{cc} 7 & 7y-13 \\ y & x+6 \end{array}\right]\) then the value of x, y is |
A. 3, 1 |
|
B. 2, 3 |
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C. 2, 4 |
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D. 3, 3 |
Ans: 2, 3
| Q18. | If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is |
A. m × 3 |
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B. 3 × 3 |
|
C. m × n |
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D. 3 × n |
Ans: 3 × n
| Q19. | If A = \(\frac{1}{π}\) \(\left[\begin{array}{cc} \sin ^{-1}(x \pi) & \tan^{1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & \cot ^{-1}(\pi x) \end{array}\right]\) B = \(\frac{1}{π}\) \(\left[\begin{array}{cc} \cos ^{-1}(x \pi) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & -\tan ^{-1}(\pi x) \end{array}\right]\) then A – B equal to |
A. I |
|
B. O |
|
C. 1 |
|
D. \(\frac{3}{2}\) I |
Ans: \(\frac{3}{2}\) I
| Q20. | If A = \(\left[\begin{array}{cc} 0 & 1 \\ 1 & 0 \end{array}\right]\) then A² is equal to |
A. \(\left[\begin{array}{cc} 0 & 1 \\ 1 & 0 \end{array}\right]\) |
|
B. \(\left[\begin{array}{cc} 1 & 0 \\ 1 & 0 \end{array}\right]\) |
|
C. \(\left[\begin{array}{cc} 0 & 1 \\ 0 & 1 \end{array}\right]\) |
|
D. \(\left[\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}\right]\) |
Ans: \(\left[\begin{array}{cc}
1 & 0 \\
0 & 1
\end{array}\right]\)
1 & 0 \\
0 & 1
\end{array}\right]\)
MCQ Questions for Class 12 Maths
NCERT Solution of Maths Class 12
Class 12 Maths
NCERT Solution of Maths Class 12 Chapter 1
-
MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C
NCERT Solution of Maths Class 12 Chapter 2
-
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D
NCERT Solution of Maths Class 12 Chapter 3
-
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D
NCERT Solution of Maths Class 12 Chapter 4
-
MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C
NCERT Solution of Maths Class 12 Chapter 5
-
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D
NCERT Solution of Maths Class 12 Chapter 6
-
MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C
NCERT Solution of Maths Class 12 Chapter 7
-
MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C
NCERT Solution of Maths Class 12 Chapter 8
-
MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B
NCERT Solution of Maths Class 12 Chapter 9
-
MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B
NCERT Solution of Maths Class 12 Chapter 10
-
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D
NCERT Solution of Maths Class 12 Chapter 11
-
MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B
NCERT Solution of Maths Class 12 Chapter 12
NCERT Solution of Maths Class 12 Chapter 13
-
MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B
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