# 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