# NCERT Class 12-Mathematics: Exemplar Chapter – 4 Determinants Part 12 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 27**:

The determinant equals

(A)

(B)

(C)

(D) None of these

**Answer: (D)**

**Question 28**:

The number of distinct real roots of in the interval is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 29**:

If A, B and C are angles of a triangle, then the determinant is equal to

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 30**:

is equal to

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 31**:

The maximum value of is ( is real number)

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 32**:

If

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 33**:

If then exists if

(A)

(B)

(C)

(D) None of these

**Answer: (D)**

**Question 34**:

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

(A)

(B)

(C)

(D)

**Answer: (D)**