NCERT Solutions for Class 12 Maths Determinants Exercise 4.3

NCERT Solutions for Class 12 Maths Determinants Exercise 4.3: In the NCERT Solutions for Determinants Exercise 4.3 Class 12 Maths, students will learn how to calculate the area of a triangle with vertices and prove that certain points are collinear, and find the equation for two lines joining using determinants. Chapter 4 Determinant is an important topic and paired with matrices, and it is applied in checking the consistency of the system of linear equations in two or more variables. 

Click on the topic-wise links provided in the table below to get access to the NCERT Mathematics Chapter 4 chapter-wise important questions:

Students should carefully understand the topic Determinants and practice the intext questions with the help of Class 12 Maths NCERT Solutions for each topic. Expert Mathematicians curate Embibe’s Class 12 Maths NCERT Solutions for Determinants. It can help students learn and score good marks in their board exams. Keep reading to learn more.

Practice CBSE Class 12 Mathematics, Physics, Biology and Chemistry Questions with Hints & Solutions Here!

Pro Tip: At Embibe, we believe that all students have the right to personalised guidance. Embibe offers personalised attention to all the CBSE Class 12 students to help them prepare for their exams and score good marks.

NCERT Solutions for Exercise 4.3 Class 12 Maths: Important Topics

In Class 12 Maths Chapter 4 Determinants, students learn that a determinant is a number that can be calculated for only square matrices. Determinants play an essential role in solving linear equations to check whether a certain system of equations has any unique solution or not. Determinants have several real-life applications in science, social sciences, engineering, etc. 

Exercise 4.3 Class 12 Maths NCERT Solutions explains various calculations such as finding the determinant of a 2×2 matrix, 3×3 matrix, determining the area of a triangle, finding the equation of a line using a determinant, cofactors and minors. Before moving on to the Class 12 Maths NCERT Solutions Exercise 4.3, students can check the overview of this chapter and learn the sub-sections they will be studying later. 

NCERT Solutions for Exercise 4.3 Class 12 Maths: Important Points to Remember

Below we have provided some of the Chapter 4 important points to remember for NCERT Class 12 Maths Exercise 4.3 to ace your exams:

• 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 zero, then its value is zero.
• For a system of linear equations with two variables, determinants become 2×2 matrices.
• If A and B are square matrices of the same order, then |AB|=|A||B|
• Let A=[aij] be a square matrix of order n, and let BB be the matrix obtained from AA by multiplying each element of a row (column) of AA by a scalar k, then |B|=k|A|.

Students can get more important points related to Determinants from Embibe.

NCERT Solutions for Class 12 Maths: All Chapters

Students can get the NCERT Solutions for Class 12 of Maths for all chapters below:

• 1st Chapter – Relations and Functions
• 2nd Chapter – Inverse Trigonometric Functions
• 3rd Chapter – Matrices
• 4th Chapter – Determinants
• 5th Chapter – Continuity and Differentiability
• 6th Chapter – Application of Derivatives
• 7th Chapter – Integrals
• 8th Chapter – Application of Integrals
• 9th Chapter – Differential Equations
• 10th Chapter – Vector Algebra
• 11th Chapter – Three Dimensional Geometry
• 12th Chapter – Linear Programming
• 13th Chapter – Probability

Steps to Practice Unlimited 12th NCERT Mathematics Chapter-wise Mock Tests

Embibe provides personalised mock tests for every student. They can practice in their own pace and prepare themselves with ease. Below we have provided a detailed guide to taking the mock test based on latest syllabus on Embibe:

1st Step: Click on ‘Create Account‘.
2nd Step: Enter your mobile number.
3rd Step: Then select your Goal as ‘CBSE’.
4th Step: Select your Exam Name as ’12th CBSE’.
5th Step: Click Next and select your preferred language between ‘English’ and ‘Hindi’.
6th Step: Once done, click on the below-mentioned links to take the TEST.

FAQs

Q.1: Where can I download Exercise 4.3 Class 12 Maths NCERT Solutions?
Ans: Students can download the NCERT Solutions exercise 4.3 Class 12 Maths Chapter 4 from this page. It can also be downloaded from the NCERT official website with the link given above or at Embibe.com.

Q.2: Are NCERT Solutions Class 12 Maths sufficient for board exam preparation?
Ans: Yes, the NCERT textbooks and NCERT Solutions are the prescribed books for Class 12. These books are typically enough for the 12th class board exam. Students who want to refer to advanced books are advised to first study from the NCERT books to build a strong foundation and then move to reference books.

Q.3: Is it possible to study the Ex 4.3 Class 12 Maths in one day?
Ans: Yes, students can complete practising the Ex 4.3 Class 12 Maths in a single day if they have understood the basic concepts explained in the section.

Q.4: What concepts are in the NCERT Solutions for Class 12 Maths Chapter 4?
Ans: In NCERT Solutions Class 12 Maths Chapter 4, students will learn about finding the area of a triangle with vertices, proving that certain points are collinear, and finding the equation for two lines joining using determinants.

Q.5: Can I download the Determinants exercise 4.3 Class 12 NCERT Solutions for from Embibe?
Ans: Yes, students can download Exercise 4.3 Class 12 Maths in pdf format for from Embibe. Embibe also provides NCERT Solutions for Class 12 Maths in all chapters. Therefore, students can get the links to download Solutions here. Students can also get study material, take mock tests, and download sample question papers for at Embibe.