MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers

MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Set-B 

MCQ Questions for Class12 Maths Chapter 3 Matrices

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
B. λ ≠ 2
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
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: \(\frac{1}{11}\) \(\left[\begin{array}{cc}
14 & 5 \\
5 & 1
\end{array}\right]\)

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|
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: \(\left[\begin{array}{cc}
b^{2}+bc & ab+bd \\
ac+dc & dc+d^{2}
\end{array}\right]\)

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: \(\left[\begin{array}{cc}
\cos \theta & \sin \theta \\
-\sin \theta & \cos \theta
\end{array}\right]\)

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
B. a skew-sybtmetric matrix
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
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)
C. (-2, -1)
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
C. 2, 4
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
B. 3 × 3
C. m × n
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: \(\left[\begin{array}{cc}
1 & 0 \\
0 & 1
\end{array}\right]\)


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

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

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

NCERT SOLUTIONS FOR CLASS 12

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