# NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 12

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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)**