# NCERT Class 12-Mathematics: Exemplar Chapter – 4 Determinants Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 35**:

If x, y, z are all different from zero and , then value of is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 36**:

The value of the determinant is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 37**:

There are two values of a which makes determinant, then sum of these number is

(A)

(B)

(C)

(D)

**Answer: (C)**

## Fill in the Blanks

**Question 38**:

If A is a matrix of order , then ________ .

**Answer**:

**Question 39**:

If A is invertible matrix of order , then ________ .

**Answer**:

**Question 40**:

If , then the value of determinant is equal to ________.

**Answer**:

Zero

**Question 41**:

If ________.

**Answer**:

**Question 42**:

If A is a matrix of order , then = ________.

**Answer**:

**Question 43**:

If A is a matrix of order , then number of minors in determinant of A are ________.

**Answer**:

**Question 44**:

The sum of the products of elements of any row with the co-factors of corresponding elements is equal to ________.

**Answer**:

Value of the determinant

**Question 45**:

If is a root , then other two roots are ________.

**Answer**: