**MCQs Questions for Class 12 Maths Chapter 4 Determinants**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find **15** **MCQs questions for class 12 maths chapter 4 determinant**.

**MCQs Questions for Class 12 Maths Chapter 4 Determinants**

**1.** If the area of a
triangle with the vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units, then the
value of k is

(a) 3

(b) 9

(c) -9

(d) 6

**Answer: a**

**2. **For a non-singular matrix A, if A^{2} = I, then the
value of A^{-1} is

(a) I

(b) A

(c) O

(d) None of
these

**Answer:**** b**

**3. **Evaluate

(a) -6

(b) 34

(c) -34

(d) 22

**Answer:**** c**

**4. **If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y
– bz = 0 have non-trivial solutions, then

(a) a – b =
2

(b) a + b +
1 = 0

(c) a + b =
3

(d) a – b –
8 = 0

**Answer: a**

**5. **Which of the following
is not a property of the determinant?

(a) The value
of determinant changes if all of its rows and columns are interchanged

(b) The
value of determinant changes if any two rows or columns are interchanged

(c) The
value of determinant is zero if any two rows and columns are identical

(d) The
value of determinant gets multiplied by k, if each element of row or column is
multiplied by k

**Answer:**** a**

**6. **

(a) 1

(b) 4

(c) 3

(d) 2

**Answer: b**

**7. **Evaluate

(a) 1

(b) 0

(c) xyz

(d) x^{2} yz^{3}^{}

**Answer:**** b**

**8. **Solve the following system of equations:

x – y + z = 4, x – 2y + 2z = 9 and
2x + y + 3z = 1. The solution is

(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

**Answer: b**

**9. **

**Answer:**** a**

**10. **If the points (3, -2), (x, 2) and (8, 8) are collinear, then
the value of x is

(a) 2

(b) 3

(c) 5

(d) 4

**Answer: c **

**11. **Evaluate

(b) 2a{(b – c)(c – a + b)}

(c) 2b{(a – c)(a + b + c)}

(d) 2c{(b –
c)(a – c + b)}

**Answer:**** b **

**12. **If w is a non-real root of the equation x² – 1 = 0, then

(a) 1

(b) 0

(c) Ï‰

(d) Ï‰²

**Answer:**** b**

**13. **Find the minor of the element of second row and third column
in the following determinant.

(a) 0

(b) 4

(c) 5

(d) 13

**Answer: d**

**14. **Using the 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

**Answer: a**

**15. **

(a) 0

(b) (x – 2)(x – 3)(x – 4)

(c) (x – Î±)(x – Î²)(x – Î³)

(d) Î±Î²Î³ (Î±
– Î²)(Î² – Î³)^{2}

**Answer: a**