# NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

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## NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

Get Free NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 PDF in Hindi and English Medium. Sets Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Determinants Exercise 4.4 Class 12 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 4 Class 12 Determinants Ex 4.4 provided in NCERT Textbook.

Free download NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

The topics and sub-topics included in the Determinants chapter are the following:

 Section Name Topic Name 4 Determinants 4.1 Introduction 4.2 Determinant 4.3 Properties of Determinants 4.4 Area of a Triangle 4.5 Adjoint and Inverse of a Matrix 4.6 Applications of Determinants and Matrices 4.7 Summary

### NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

Ex 4.4 Class 12 Maths Question 1.
Write the minors and cofactors of the elements of following determinants:
(i) (begin{vmatrix} 2 & -4 \ 0 & 3 end{vmatrix})
(ii) (begin{vmatrix} a & c \ b & d end{vmatrix})
Solution:
(i) Let A = (begin{vmatrix} 2 & -4 \ 0 & 3 end{vmatrix})
M11 = 3, M12 = 0, M21 = – 4, M22 = 2
For cofactors Ex 4.4 Class 12 Maths Question 2.
Write Minors and Cofactor of elements of following determinant
(i) (left| begin{matrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 end{matrix} right| )
(ii) (left| begin{matrix} 1 & 0 & 4 \ 3 & 5 & -1 \ 0 & 1 & 2 end{matrix} right| )
Solution:
(i) Minors M11 = (begin{vmatrix} 1 & 0 \ 0 & 1 end{vmatrix}) = 1  Ex 4.4 Class 12 Maths Question 3.
Using cofactors of elements of second row, evaluate
(Delta =left| begin{matrix} 5 & 3 & 8 \ 2 & 0 & 1 \ 1 & 2 & 3 end{matrix} right| )
Solution:
Given
(Delta =left| begin{matrix} 5 & 3 & 8 \ 2 & 0 & 1 \ 1 & 2 & 3 end{matrix} right| ) Ex 4.4 Class 12 Maths Question 4.
Using Cofactors of elements of third column, evaluate
(Delta =left| begin{matrix} 1 & x & yz \ 1 & y & zx \ 1 & z & xy end{matrix} right| )
Solution:
Elements of third column are yz, zx, xy Ex 4.4 Class 12 Maths Question 5.
If (Delta =left| begin{matrix} { a }_{ 11 } & { a }_{ 12 } & { a }_{ 13 } \ { a }_{ 21 } & { a }_{ 22 } & { a }_{ 23 } \ { a }_{ 31 } & { a }_{ 32 } & { a }_{ 33 } end{matrix} right| ) and Aij is the cofactors of aij? then value of ∆ is given by
(a) a11A31+a12A32+a13A33
(b) a11A11+a12A21+a13A31
(c) a21A11+a22A12+a23A13
(d) a11A11+a21A21+a31A31
Solution:
Option (d) is correct.

### NCERT Solutions for Class 12 Maths Chapter 4 Determinants Hindi Medium Ex 4.4     More Resources for NCERT Solutions Class 12: