Hello Students! In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 4.1.
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NCERT Solutions for Maths Class 12 Exercise 4.2
NCERT Solutions for Maths Class 12 Exercise 4.3
NCERT Solutions for Maths Class 12 Exercise 4.4
NCERT Solutions for Maths Class 12 Exercise 4.5
NCERT Solutions for Maths Class 12 Exercise 4.1
Maths Class 12 Ex 4.1 Question 1.
Evaluate the following determinant:
= 2 × (–1) – (–5) × (4)
= –2 + 20
= 18
Maths Class 12 Ex 4.1 Question 2.
Evaluate the
following determinants:
(i) 
(ii) 
Solution:
(i)
= cos θ × cos θ – (sin θ) × (–sin θ)
= cos² θ + sin² θ
= 1
Maths Class 12 Ex 4.1 Question 3.
If
, then show that |2A|= 4|A|
L.H.S. = |2A|
= 8 – 32
= – 24
Maths Class 12 Ex 4.1 Question 4.
If
, then show that |3A| = 27|A|
Solution:
Maths Class 12 Ex 4.1 Question 5.
Evaluate the following determinants:
Maths Class 12 Ex 4.1 Question 6.
If
, find |A|
|A| =
= 1(–9 + 12) – 1(–18 + 15) – 2(8 – 5)
= 0
Maths Class 12 Ex 4.1 Question 7.
Find the values of x, if
Solution:
(i) 
⇒ 2 – 20 = 2x² – 24
⇒ x² = 3
⇒ x = ±√3
(ii) 
⇒ 2 × 5 – 4 × 3 = 5 × x – 2x × 3
⇒ 10 – 12 = 5x – 6x
⇒ x = 2
Maths Class 12 Ex 4.1 Question 8.
If
, then x is equal to
(A) 6
(B) ±6
(C) -6
(D) 0
Solution:
(B)
⇒ x² – 36 = 36 – 36
⇒ x² = 36
⇒ x = ± 6
Hence, option (B) is correct.
Related Links:
NCERT Solutions for Maths Class 12 Exercise 4.2
NCERT Solutions for Maths Class 12 Exercise 4.3