NCERT Solutions : Class 12 Maths with Answers MCQs Chapter 4

NCERT Solutions for Class 12 Maths Chapter 4 MCQ’s with Answers

NCERT Books are textbooks which are issued & distributed by the National Council of Educational Research and Training (NCERT). NCERT books are important for the schooling system. NCERT Books are available in E-Books. If you are searching for MCQs (Multiple Choice Questions) with Answers of for NCERT Class 12 Mathematics then you have came to right way. CBSE students can also solve NCERT Class 12 Maths 4 Determinants PDF Download w their preparation level. MCQs are Prepared Based on Latest Exam Patterns. MCQs Questions with Answers for Class 12 Maths Chapter 4 Determinants are prepared to help students to understand concepts very well. Objective wise Questions 12th class Maths Chapter 4 Determinants wise PDF over here are available in the following links. Score maximum marks in the exam.

NCERT Maths MCQs for Class 12 Question and Answers Chapter 4 Determinants PDF

Q1. Let A be a square matrix of order 2 × 2, then |KA| is equal to

(a) K|A|
(b) K²|A|
(c) K3|A|
(d) 2K|A|

Option b – K²|A|

Q2. A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is

(a) 16
(b) 4
(c) 6
(d)1/16

Option d – 1/16

Q3. Determinant is a number associated to a matrix, state true or false.

Option False, as determinant is a number associated to a square matrix.

Q4. If the value of a third order determinant is 7, then the value of a determinant formed by replacing each element by its cofactor will be 49. State true or false.

Option True, as |adj.A| = |A|n-1, A is matrix of order 3 × n

Q5. Given a square matrix A of order 3 × 3, such that |A| = 12, find the value of |A. adj A|.

Option |A adj A| = |A|3 as matrix A is of order 3 × 3. ∴ |A adj A| = |A|3 = (12)3 = 1728

Q6. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be

(a) 9
(b) 3
(c) -9
(d) 6

Option b – 3

Q7. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

(a) 2
(b) 3
(c) 4
(d) 5

Option d – 5

Q8. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).

(a) y = 2x
(b) x = 3y
(c) y = x
(d) 4x – y = 5

Option a – y = 2x

Q9. A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z =

(a) 1 : 2 : -2
(b) 1 : -2 : 2
(c) 2 : 1 : 2
(d) 2 : 1 : -2

Option d – 2 : 1 : -2

Q10. If for the non-singular matrix A, A2 = I, then find A-1.

(a) A
(b) I
(c) O
(d) None of these

Option a – A

Q11. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = __

(a) 1
(b) 3
(c) -2
(d) 2

Option d – 2

Q12. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then

(a) a – b = 2
(b) a + b + 1 = 0
(c) a + b = 3
(d) a – b – 8 = 0

Option a – a – b = 2

Q13. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.

(a) x = -4, y = -3, z = 2
(b) x = -1, y = -3, z = 2
(c) x = 2, y = 4, z = 6
(d) x = 3, y = 6, z = 9

Option b – x = -1, y = -3, z = 2

Q14. If the system of equations x + ky – z = 0, 3x – ky – z = 0 & x – 3y + z = 0 has non-zero solution, then k is equal to

(a) -1
(b) 0
(c) 1
(d) 2

Option c – 1

Q15. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).

(a) 21 sq. units
(b) 35 sq. units
(c) 30 sq. units
(d) 40 sq. units

Option b – 35 sq. units

Q16. If the points (a1, b1), (a2, b2) and(a1 + a2, b1 + b2) are collinear, then

(a) a1b2 = a2b1
(b) a1 + a2 = b1 + b2
(c) a2b2 = a1b1
(d) a1 + b1 = a2 + b2

Option a – a1b2 = a2b1

Q17. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

(a) 4
(b) 7/140
(c) 47
(d) 40/7

Option d – 40/7

Q18. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

(a) 30 sq. units
(b) 35 sq. units
(c) 40 sq. units
(d) 15.5 sq. units

Option d – 15.5 sq. units

Q19. The area of a triangle with vertices (-3, 0) (3, 0) and (0, k) is 9 sq. units. The value of k will be

(a) 9
(b) 3
(c) -9
(d) 6

Option b – 3

Q20. If A and B are invertible matrices, then which of the following is not correct?

(a) adj A = |A|.A-1
(b) det (a)-1 = [det (a)]-1
(c) (AB)-1 = B-1A-1
(d) (A + B)-1 = B-1 + A-1

Option d – (A + B)-1 = B-1 + A-1

We hope that the given NCERT MCQ Questions for Class 12 Mathematics Chapter 4 Determinants Free Pdf download will help you in gaining knowledge on the subject.

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