NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 5

Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Download PDF of This Page (Size: 138K)

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

Developed by: