# NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants explains the concept of finding the area of triangles using determinants. The area of a triangle whose vertices are given can be calculated and represented using determinants. The formula to calculate the area of a triangle with vertices (x_{1},y_{1}), (x_{2},y_{2}) and (x_{3},y_{3}) is given by the expression 1/2 [ x_{1}( y_{2}–y_{3 }) + x_{2 }( y_{3}– y_{1 }) + x_{3}( y_{1}–y_{2 })]. Since the area is a positive quantity, the result is always the absolute value of the determinant. For calculations where the area of a triangle is already given, we can use both positive and negative values of the determinant. The area of the triangle formed by three collinear points is zero. The sums provided in this exercise are efficient to impart a clear understanding of applying the formula to obtain results. The interactive format of illustrations incorporated in NCERT solutions Class 12 Maths Chapter 4 Exercise 4.3 is excellent in developing computational skills.

There are a total of 5 questions provided in exercise 3 of Class 12 Maths NCERT Solutions Chapter 4 that describe a step-by-step process of finding the area of triangles. Students can clearly learn with these error-free solutions to bring out the best results in their annual exams. These solutions are also available in a scrollable PDF format given below.

**ā** Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3

**Exercise 4.3 Class 12 Chapter 4 **

### More Exercises in Class 12 Maths Chapter 4

- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.1
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.2
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.4
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.5
- NCERT Solutions Class 12 Maths Chapter 4 Ex 4.6
- NCERT Solutions Class 12 Maths Chapter 4 Miscellaneous Exercise

## NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 Tips

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 are quite helpful in promoting practice. The students are advised to solve all problems by themselves first to understand which topic needs more focus. This will also guide them to strategize their learning. Reading all the notes provided in these solutions and the thorough practice of questions will enable kids to develop the right approach to perform detailed studies.

Solving easier problems first and gradually moving towards complex topics ensures a firm base for all concepts. Class 12 Maths NCERT Solutions Chapter 4 is also advantageous in attaining the step-by-step understanding of each section that is necessary for life-long success including excelling in one’s career. By the repetitive practice of the complex topics, students can form a firm foundation for securing good marks in exams.

*Download Cuemath **NCERT Solutions** PDF for free and start learning!*

visual curriculum