# NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants in Hindi Medium as well as English Medium. All the solutions for 12th Math is applicable for UP Board, CBSE Board (Uttarakhand and Bihar Board and other board also, who are using NCERT Books as course books. Videos related to each question are also given just below the PDF solutions. Properties of determinants are used perfectly whenever it is required in the questions. Questions are done using simplified steps, so that each student can understand the steps of solutions. 12th Maths Exercise 4.3 Solutions are divided in four videos.

The first videos show the solutions of question 1, second video is for questions 2 and 3. Next two videos are prepared for Exercise 4.3 Question 4 and 5. All the study material on Tiwari Academy is free to use. If you are facing any difficulty to access these online contents, please contact us for help.

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

Class: 12 | Maths (English and Hindi Medium) |

Chapter 4: Determinants | 12th Maths Exercise 4.3 Solutions |

### 12th Maths Exercise 4.3 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants based on the concept of area of triangle, co-linear points and equation of lines using determinants. NCERT Solutions based on NCERT textbooks for 12th are given in Hindi and English medium. You can take help for NIOS board also.

### Class 12 Maths Exercise 4.3 Solutions in Hindi & English

#### Class 12 Maths Exercise 4.3 Solution in Videos

#### Class 12 Maths Exercise 4.3 Solution in Hindi Videos

#### More about Determinants

If the points are co-linear, the triangle can’t be formed. So, in case of collinear points, we put area of triangle zero to solve the questions. Similarly, if we have to find a equation of a line through two given points using determinants, we will assume a third general points(x, y) on the line joining the two point, which will make the three points collinear and then apply the formula of area of triangle put it equal to zero.

Always prefer the formulae which are given in NCERT Books. For any suggestion related to NCERT solutions or online contents of CBSE or NIOS, please contact us though discussion forum.

##### त्रिभुज का क्षेत्रफल

त्रिभुज का क्षेत्रफल चाहे धनात्मक हो या ऋणात्मक, हम उसे हमेशा धनात्मक ही लेंगे। क्योंकि त्रिभुज का क्षेत्रफल कभी ऋणात्मक नहीं हो सकता। यदि किसी प्रश्न में त्रिभुज का क्षेत्रफल दिया हुआ है तो उस मान तो ऋणात्मक तथा धनात्मक दोनों से हल करेंगे। संरेख बिंदुओं से कोई त्रिभुज नहीं बन सकता है अतः इनसे बनने वाले त्रिभुज का क्षेत्रफल शून्य होगा। कक्षा १२ के पाठ ४ की प्रश्नावली ४.३ के हल जो त्रिभुज के क्षेत्रफल, संरेख बिंदुओं और सरल रेखा के समीकरण पर आधारित है।

##### Why do we take absolute value of determinant during finding area?

Since area is a positive quantity, we always take the absolute value of the determinant.

##### What is the meaning of a determinant?

For every square matrix associated to a real number, which is called the determinant of the matrix.

##### How do we find the determinant of a matrix?

For a 2×2 matrix, we can directly find the determinant using just cross multiplication and subtracting the result. For, a 3×3 matrix, expand the matrix along a row or a column with its co-factors.

##### What is the difference between matrices and determinants?

Matrix is the way to represent elements in tabular format whereas the determinants is a number associated to a square matrix.

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