• Written By Parth
  • Last Modified 02-02-2023

NCERT Solutions for Class 12 Maths Chapter 4.6, Determinants

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NCERT Solutions for Class 12 Maths Chapter 4.6: With the NCERT solutions, students can build a conceptual foundation for all the topics included in their Class 12 Mathematics. The NCERT textbooks for Mathematics include 13 major chapters. With the NCERT books, students can understand all the concepts clearly. Going through the NCERT solutions will help students practice problems as well as score good marks in the subject. 

CBSE Class 12 Maths Chapter 4 talks about Expansion of Determinant, Sarrus Method for Expansion of Determinant, Properties of Determinants, Illustration on Properties of Determinants, Area of Triangle and many more. Embibe offers a set of 400+ practice questions for all the sub-topics included in Determinants chapter. Students must practice all the questions from Embibe to score good marks. Keep reading to know the NCERT Solutions for the Determinants chapter.

NCERT Solutions for Class 12 Maths Chapter 4: Important Topics

Determinants chapter will be easy for the students as they keep solving the problems with interest. The step-wise solutions provided for all the questions of this chapter will help students decode the solutions and learn the right way to approach the solutions. Students are advised to solve numerous problems and different types of questions to be able to attempt any kind of question asked in the exam.

The solutions provided for all the questions are and they are designed considering the latest syllabus. Also, Embibe offers NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for.

Students can refer to the important topics from the Determinants chapter from below.

S.NoTopic Name
1Determinants
2Properties of Determinants
3Area of a Triangle
4Minor and Cofactors
5Adjoint and Inverse of a Matrix
6Applications of Determinants and Matrices

NCERT Solutions for Class 12 Maths Chapter 4: Points to Remember

Students can refer to the important points of Class 12 Maths Chapter 4 from below. Going through the points during final exam preparation helps students to have a quick revision and score maximum marks.

  • Sum of the product of elements of any row (column) with their cofactors of a matrix is always equal to its determinant i.e. ∑nj=1aijCij=∣∣A∣∣and ∑ni=1aijCij=∣∣A∣∣.
  • If any two rows or columns of a determinant are identical, then its value is zero.
  • If each element of a row (column) of a determinant is expressed as a sum of two or more terms, then the determinant can be expressed as the sum of two or more determinants.
  • If each element of a row (column) of a determinant is multiplied by the same constant and then added to the corresponding elements of some other row (column), then the value of the determinant remains same.
  • If each element of a row (column) of a determinant is zero, then its value is zero.

NCERT Solutions for Class 12 Maths: All Chapters

The NCERT solutions for all the chapters of Class 12 Maths are provided below.

FAQs on NCERT Solutions for Class 12 Maths Chapter 4.6

Q.1: Where can I find NCERT Solutions for Class 12 Maths Chapter 4 on the internet?
Ans: Embibe provides solutions for Class 12 Maths Chapter 4 – Determinants. Students can easily access the solutions for all chapters of Class 12 Maths along with Chapter 4.

Q.2: In Maths NCERT Solutions Class 12 Chapter 4, how many problems are there?
Ans: The exercises and amount of problems in NCERT Solutions for Class 12 Maths Chapter 4 vary, thus here is the whole list:

  • There are 8 questions in NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1.
  • There are 16 questions in Exercise 4.2.
  • There are 5 questions in Exercises 4.3 and 4.4.
  • There are 18 questions in Exercise 4.5.
  • There are 16 questions in Exercise 4.6.
  • There are 19 questions in the miscellaneous exercise.

Q.3: Why should I refer to the NCERT solutions for Determinants Chapter from Embibe?
Ans: Embibe offers step-wise solutions for each problem designed by a team of subject matter experts. Solving the NCERT solutions from Embibe exposes students to a wide variety of problems ranging from easy to difficult. Students will improve their confidence levels and develop speed and accuracy of problem solving.

Q.4: According to NCERT Solutions for Class 12 Maths Chapter 4, what are the applications of determinants?
Ans: Determinants are a key subject in algebra that has a variety of applications. This notion can be applied to the solution of a collection of linear equations. Students will be able to understand the change in the area, volume, and variables in terms of integrals using determinants. It can also be used to calculate square matrices’ values.

Q.5: What is the best NCERT Solutions app?
Ans: Embibe is the best app for NCERT Solutions where students can get access to all chapter-wise and term-wise study material to pass the NCERT exams with flying colours.

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