# NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 13

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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:**