# NCERT Class 12-Mathematics: Exemplar Chapter – 4 Determinants Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 4.3 EXERCISE

### Short Answer (S. A)

**Using the properties of determinants in Exercises 1 to 6, evaluate**:

**Question 1**:

**Answer**:

We have,

**Question 2**:

**Answer**:

We have,

**Question 3**:

**Answer**:

We have,

**Question 4**:

**Answer**:

We have,

Appling,

Now, expanding along first column, we get

**Question 5**:

**Answer**:

We have,

[Here, given determinant is expressed in sum of two determinants]

[Taking common from first row of first determinant and 4 from first row of second determinants]

Applying and in first and applying in second we get

Expanding both the along first column, we get