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CBSE Class 12 Mathematics NCERT Exemplar Solutions: Chapter - Determinants

Jul 11, 2018 17:40 IST
CBSE Class 12 Mathematics NCERT Exemplar Solutions

In this article, we are providing you NCERT Exemplar Solutions for all the questions of Class 12 Mathematics Chapter 4 – Determinants. Questions from NCERT Exemplar are frequently asked in CBSE Class 12 Board examination and various engineering entrance examinations like JEE Main, JEE Advanced, WBJEEE, AIPMT etc.

Important Topics of Chapter – Determinants

  • Determinant of a square matrix (up to 3 × 3 matrices)
  • Properties of determinants
  • Adjoint and inverse of a square matrix
  • Consistency, inconsistency and number of solutions of system of linear equations
  • Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.


About NCERT Exemplar Solutions Class 12 Maths:

Students must go through the basic concepts before checking the solutions given here. All the solutions of the chapter Determinants are solved by subject experts of Mathematics. Students can easily understand all the solutions as all the steps are included while solving questions.

Few problems along with their solutions from this chapter are given follows:

Question:

If the area of a triangle with vertices (- 3, 0), (3, 0) and (0, k) is 9 sq units. Then, the value of k will be

(a) 9 

(b) 3 

(c) -9                            

(d) 6

Solution: (b)

NCERT Exemplar Class 12 Maths  

 

Question:

If A is a matrix of order 3 × 3, then (A2)-1 is equal to ........  .

Solution:                          

We know that, (An)-1 = (A-1)n, where nN.

Substituting n = 2 on both sides, we get

(A2)-1 = (A-1)2

Question:

If A is a matrix of order 3 × 3, then the number of minors in determinant of A are ........  .

Solution:                          

Since, the order of the matrix A is 3 × 3. It means there are 9 elements in the matrix A.

Hence, the number of minors in determinant of A is 9.

Question:

The sum of products of elements of any row with the cofactors of corresponding elements is equal to ........  .

Solution:   

NCERT Exemplar Class 12 Maths                       

= Sum of products of elements of R1 with their corresponding cofactors.

Hence, the sum of products of elements of any row with the cofactors of corresponding elements is equal to value of the determinant.

Students can download the complete solutions in PDF form using the links given below:

Types

Number of questions

Link to download PDF

Short answer type questions

17

Download

Long answer type questions

6

Download

Objective type questions

14

Download

Fillers type questions

10

Download

True/False type questions

11

Download

Total

58

 

About NCERT Exemplar Book Class 12 Maths:

Students must practice the questions given in these books as the level of these questions matches the difficulty level of the questions generally asked in engineering entrance exams. Each chapter of NCERT Exemplar Class 12 Maths book starts with a brief overview of the chapter followed by solved examples and unsolved exercises.

In this chapter of the book, students will get the following things.

Brief summary of the complete chapter

Objective type questions or MCQs

Short answer type questions

Long answer types questions

Fill in the blanks

True and False

Students can download the complete NCERT Exemplar book from the link given below:

NCERT Exemplar Book Class 12 Maths: Determinants