NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3

NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3

Vedantu provides students with exclusive access to NCERT Solutions Class 12 Maths Chapter 4. Experienced teachers of Vedantu have formulated the study material on the third chapter of Class 12 Mathematics. The fourth chapter of Class 12 Maths deals with Determinants. On this page, you will easily be able to find all Maths Class 12 Chapter 4 Question Answers in PDF form, which you can easily download as per your convenience. 

Do you need help with your Homework? Are you preparing for Exams?
Study without Internet (Offline)
Chapter 4 - Determinants part-1

Introduction to Chapter 4 Determinants:

You must have learned in the earlier classes about matrix and matrices. For every square matrix, you can assign a real number. It is called the Determinant.

Determinant of matrices of order 1:

If A = [a ] be the matrix of order 1, then Determinant of A is said to be equal to a.

Determinant of matrices of order 2 ☓ 2:

For matrices with order 2, the Determinant is obtained through the multiplication of matrices.

Determinant of matrices of order 3 ☓ 3:

For matrices with order 3 ☓ 3, the Determinant is obtained by a series of steps explained in the NCERT solutions for Class 12 Maths Part 1 Chapter 4 Determinants

Properties of Determinants :

Chapter 4, Determinants, gives us a few properties.

Property 1. If you interchange the rows and columns, the value of Determinants will not change. 

Property 2. If two rows or 2 columns are interchanged, then the value of Determinants will change concerning sign.

Property 3.  If two-row or columns are the same, then the value of Determinants is zero.

Property 4. If each element in matrix is multiplied by a constant k, then the value of Determinants will also be multiplied by k. 

Property 5. If the sum of two terms expresses elements, then the value of Determinants will also be expressed as the sum

Area of a triangle :

As we have seen in earlier classes, the area of a triangle is half into base into height.

Here, the value of the area of the triangle is expressed as half of the value of the matrix of order 3 ☓ 3.

Exercise 4.3 has five questions based on these concepts.  

For detailed and correct solutions for Exercise 4.3, you can download our NCERT Solutions for Class 12 Maths Part 1 Chapter 4 Determinants

The importance of using NCERT Solutions for Class 12 Maths Part 1 Chapter 4- Determinants :

Class 12 is a fundamental level in the student's life. The future depends on these grades. Scoring better marks in Maths is a dream for many. Many students spend unnecessary time and effort just in cracking these answers. Your hurdle to success blows up here. With expert guidance! Vedantu solution describes all the questions asked in exercise 4.3 in a detailed manner as per CBSE guidelines. These NCERT Solutions for Maths part - 1 will help you get better marks in your Class 12. The curriculum is strictly taken from the NCERT Class 12 textbook. Our expert team of hardworking professionals is the reason behind developed and distinctive NCERT SOLUTIONS

All our answers are designed, and sample solutions are provided adhering to the NCERT textbook. 

Our NCERT solutions give specific and to the point answers for the questions asked in NCERT Class 12 Maths Part 1 Chapter 4 Determinants exercise 4.3. 

Our experienced and highly qualified teachers have formulated these answers keeping in mind the situation of Class 12 students. With simple steps, exercise 4.3 is thoroughly solved. 

Benefits of choosing Vedantu as your learning mentor 

 Vedantu is responsible for carving the bright futures of many Class 12 students. The language of the NCERT solutions is kept simple and lucid for better understanding. All our solutions are in pdf versions. This makes it easy to download and accessible widely by the students. With step by step illustration of the solution for exercise 4.3, you are sure to score better marks in Maths Part 1 Class 12. For those students who would not want to miss any single chance of studying this year, we have devised our student-friendly app to view the solutions on the go.

With Vedantu, your success seems nearer than expected. Utilize your precious time this year, by going through our NCERT Solutions for Class 12 Maths Part 1 Chapter 4 Determinants Exercise 4.3. Our professionals strive hard in providing the best possible answers to the questions asked in the NCERT Class 12 Maths textbook. All our solutions are written exclusively for Class 12 students to understand and grasp, so don't feel the need for rote learning.

Why Vedantu?

Our well capable team of teachers formulates correct answers specific to the questions asked. PDF version of the solutions based on NCERT Class 12 Maths Part 1 Chapter 4. Vedantu app is developed for the better availability of answers to students of Class 12. Subscribe to our Web portal to gain access to numerous solutions. Our solutions are easy to understand the explanation of concepts that helps the students learn faster. You can also access our live classes that clear the doubts of all subjects in Class 12. We offer smarter learning methods for an intelligent generation.

Keeping all these points in mind, if you are struggling to score better marks in Maths Part 1 for Class 12, then Vedantu solutions are the right choice for you. Our NCERT solutions for Class 12 Maths Part 1 Chapter 4 Determinants are ideal for everyone who wants to pass Maths with flying colours. For a comfortable viewing experience, download the Vedantu app from the play store. 

FAQs (Frequently Asked Questions)

1. Can I download NCERT Solutions Class 12 Maths Chapter 4 from Vedantu?

Ans. Yes, you can download the Class 12 Maths NCERT Solutions Chapter 4 by signing into the Vedantu’s website. These solutions are solved by our expert teachers in a very easy and step by step method. We have also added class 12 Maths Chapter 4 exercise 4.3 pdf on this site. Regular solving of these solutions will help the students to secure better marks. 

2. Are the PDFs provided by Vedantu Free of Cost?

Ans. Yes, the pdfs provided by Vedantu for various NCERT Solutions and notes are free of cost. Vedantu is an online learning platform which provides free PDF downloads of solved NCERT Solutions and sample papers along with previous years solutions for various state boards and CBSE exams. These solutions are solved by expert teachers on

Also, register yourself to the Vedantu app to get the latest information, study materials and PDFs CBSE and various state board examinations.

3. Which books shall I refer along with NCERT Class 12 Maths Textbook?

Ans. Although NCERT textbooks provide detailed information and solutions for every chapter, it is advisable to the students to refer to R.S. Agarwal and R.D. Sharma textbooks for better understanding. There are proper chapter-wise solutions provided in the textbook which are categorised as very short, short, long, multiple-type and high order thinking type questions. Therefore, CBSE students can refer to both R.S. Agarwal and R. D. Sharma books for gaining better concepts regarding any topic. The students can also download free PDFs of solved R.S.Agarwal's questions from the Vedantu’s website. These solutions are solved by our expert teachers who are having years of experience in this subject.

4. How can I score well in the Class 12 Maths Final Exam?

Ans. Class 12 final examination holds an important part in every student's life. Therefore, they need to solve the NCERT solutions and practice papers regularly. Candidates aiming for JEE should have a good grasp over the maths subject. They are advised to revise the important mathematical formulas and attempt maximum mock tests for better understanding and marks.

Before starting their preparation, students must have a deep understanding of the Class 12 maths syllabus and should focus on his/her weak areas. He/She must also follow a regular time table and segregate the syllabus accordingly. 

Share this with your friends