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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
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Chapter 4 Mathematics-I class 12
Exercise 4.1 class 12 Mathematics-I Chapter 4. Determinants
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4. Determinants
| Exercise 4.1 |
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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