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Solutions ⇒ Class 12th ⇒ Mathematics-I ⇒ 4. Determinants

# Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

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## Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

CBSE board students who preparing for class 12 ncert solutions maths and Mathematics-I solved exercise chapter 4. Determinants available and this helps in upcoming exams 2022-2023.

### You can Find Mathematics-I solution Class 12 Chapter 4. Determinants

• All Chapter review quick revision notes for chapter 4. Determinants Class 12
• NCERT Solutions And Textual questions Answers
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Chapter 4 Mathematics-I class 12

## Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

Exercise 4.1

Evaluate the following determinants in Exercise 1 and 2.

Ques.1.

Ans.   =  =  = 18

Ques.2. (i)

(ii)

Ans. (i)  =  =  = 1

(ii)  =

=

### Ques.3. If A =  then show that

Ans. Given: A =  then 2A =

L.H.S. =  =

R.H.S. =

=

Since L.H.S. = R.H.S.

Hence, proved.

Ques.4. If A =  then show that

Ans. Given: A =  then 3A =  =

L.H.S.   =

= 3 x 36 = 108

R.H.S.   =

= 27 [1 (4 – 0)] = 27 x 4 = 108

Since   L.H.S. = R.H.S.

Hence, proved.

Ques.5. Evaluate the determinants:

(i)

(ii)

(iii)

(iv)

Ans. Evaluate the determinants:

(i) Given:

Expanding along first row,

=

(ii) Given:

Expanding along first row,

= 21 + 20 + 5 = 46

(iii) Given:

Expanding along first row,

= 0 + 6 – 6 = 0

(iv) Given:

Expanding along first row,

= 5

Ques.6. If A =  find

Ans. Given:     A =

=

Expanding along first row,

= 0

Ques.7. Find the value of  if:

(i)

(ii)

Ans. (i) Given:

(ii)

Ques.8. If  then  is equal to:

(A) 6

(B)

(C)

(D) 0

Ans. Given:

hance, option (B) is correct.

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Mathematics Class - 11th

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## Study Materials List:

##### Solutions ⇒ Class 12th ⇒ Mathematics-I
1. Relations and Functions
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity And Differentiability
6. Application of Derivatives

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