NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths 4 Determinants Ex 4.1.
- Determinants Class 12 Ex 4.2
- Determinants Class 12 Ex 4.3
- Determinants Class 12 Ex 4.4
- Determinants Class 12 Ex 4.5
- Determinants Class 12 Ex 4.6
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 4 |
Chapter Name | Determinants |
Exercise | Ex 4.1 |
Number of Questions Solved | 8 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1
Ex 4.1 Class 12 Maths Question 1.
Evaluate the following determinant:
Solution:
= 2x(-1)-(-5)x(4)
=-2+20
=18
Ex 4.1 Class 12 Maths Question 2.
(i)
(ii)
Solution:
(i)
= cosθ cosθ – (sinθ)(-sinθ)
= cos²θ + sin²θ
= 1
Ex 4.1 Class 12 Maths Question 3.
If then show that |2A|=|4A|
Solution:
=>
L.H.S = |2A|
=
= – 24
Ex 4.1 Class 12 Maths Question 4.
, then show that |3A| = 27|A|
Solution:
3A =
=
Ex 4.1 Class 12 Maths Question 5.
Evaluate the following determinant:
(i)
(ii)
(iii)
(iv)
Solution:
(i)
>
Ex 4.1 Class 12 Maths Question 6.
If , find |A|
Solution:
|A| =
= 1(-9+12)-1(-18+15)-2(8-5)
= 0
Ex 4.1 Class 12 Maths Question 7.
Find the values of x, if
(i)
(ii)
Solution:
(i)
=> 2 – 20 = 2x² – 24
=> x² = 3
=> x = ±√3
(ii)
or
2 × 5 – 4 × 3 = 5 × x – 2x × 3
=>x = 2
Ex 4.1 Class 12 Maths 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
We hope the NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1 help you. If you have any query regarding NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.1, drop a comment below and we will get back to you at the earliest.