NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.2 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths 4 Determinants Ex 4.2.
- Determinants Class 12 Ex 4.1
- 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 4.2 |
Number of Questions Solved | 16 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.2
Using the property of determinants and without expanding in Q 1 to 5, prove that
Ex 4.2 Class 12 Maths Question 1.
Solution:
L.H.S =
(C1 = C3 and C2 = C3)
= 0 + 0
= 0
= R.H.S
Ex 4.2 Class 12 Maths Question 2.
Solution:
L.H.S =
Ex 4.2 Class 12 Maths Question 3.
Solution:
Ex 4.2 Class 12 Maths Question 4.
Solution:
L.H.S =
Ex 4.2 Class 12 Maths Question 5.
Solution:
L.H.S = ∆ =
By using properties of determinants in Q 6 to 14, show that
Ex 4.2 Class 12 Maths Question 6.
Solution:
L.H.S = ∆ = …(i)
Ex 4.2 Class 12 Maths Question 7.
Solution:
L.H.S =
Ex 4.2 Class 12 Maths Question 8.
(a)
(b)
Solution:
(a) L.H.S =
Ex 4.2 Class 12 Maths Question 9.
Solution:
Let ∆ =
Applying R1–>R1 – R2, R2–>R2 – R3
Ex 4.2 Class 12 Maths Question 10.
(a)
(b)
Solution:
(a) L.H.S =
Ex 4.2 Class 12 Maths Question 11.
(a)
(b)
Solution:
(a) L.H.S =
=
Ex 4.2 Class 12 Maths Question 12.
Solution:
L.H.S =
Ex 4.2 Class 12 Maths Question 13.
Solution:
L.H.S =
Ex 4.2 Class 12 Maths Question 14.
Solution:
Let ∆ =
This may be expressed as the sum of 8 determinants
Ex 4.2 Class 12 Maths Question 15.
If A be a square matrix of order 3×3, then | kA | is equal to
(a) k|A|
(b) k² |A|
(c) k³ |A|
(d) 3k|A|
Solution:
Option (c) is correct.
Ex 4.2 Class 12 Maths Question 16.
Which of the following is correct:
(a) Determinant is a square matrix
(b) Determinant is a number associated to a matrix
(c) Determinant is a number associated to a square matrix
(d) None of these
Solution:
Option (c) is correct
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