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.
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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.
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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.
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FAQs (Frequently Asked Questions)
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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.