# NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants in Hindi Medium as well as English Medium. These 12th Maths solutions are design for all the students studying in Hindi or English medium and updated for new academic session 2021-2022. Students of UP board also can use these solutions for their board exams. The UP board books for 12th Maths are same as NCERT Books. So they can download U Board solutions for Class 12 Maths Chapter 4 Exercise 4.2 from the links given below. All the Solutions are based on latest academic Curriculum 2021-2022. Exercise 4.2 is mainly based on the properties of determinants.

Questions are solved using simple steps and suitable properties of determinants. Videos related to each question of Class 12 Maths ex. 4.2 are also given just below the PDF solutions.## NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2

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

Chapter 4: | Exercise 4.2 |

### 12th Maths Exercise 4.2 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants English & Hindi Medium are given to free to use or download in PDF form for session 2021-2022. All the questions are solved or proved using suitable properties and NCERT Books method. There may be another way to solve these questions. इस प्रश्नावली में लगभग सभी प्रश्नों को सरणिक के गुणधर्मों के आधार पर हल किया गया है। छात्र अन्य विधियों द्वारा भी इन प्रश्नों को हल तथा सिद्ध कर सकते हैं। UP Board students can use this solutions for their exams also. If you need help regarding to NIOS or CBSE education, please visit to discussion forum.

### Class 12 Maths Exercise 4.2 Solutions in Hindi & English

#### Class 12 Maths Exercise 4.2 Question 1, 2, 3, 4 in Video

#### Class 12 Maths Exercise 4.2 Question 5, 6 in Video

#### Class 12 Maths Exercise 4.2 Question 7, 8(i) in Video

#### Class 12 Maths Exercise 4.2 Question 8(II), 9 in Video

#### Class 12 Maths Exercise 4.2 Question 10, 11(i) in Video

#### Class 12 Maths Exercise 4.2 Question 11(II),12 in Video

#### Class 12 Maths Exercise 4.2 Question 13, 14 in Video

#### Class 12 Maths Exercise 4.2 Question 15, 16 in Video

#### Class 12 Maths Exercise 4.2 Solution in Hindi Videos

#### Properties of Determinants

1. The value of transpose of any determinant remains unchanged.

2. If we interchange any two row or column, the sign of determinant get changed.

3. The value of determinant will be zero, if any two row or two column are identical or any row or column having all elements zero.

4. If elements of a row or a column in a determinant can be expressed as sum of two or more elements, then the given determinant can be expressed as sum of two or more determinants.

5. If we multiply determinant with a constant k, its value become k times.

##### Feedback & Suggestions

एक ही प्रश्न को करने के लिए दो या दो से अधिक तरीके हो सकते हैं। अतः, विद्यार्थी प्रत्येक प्रश्न को अलग – अलग तरीकों से करके सरणिक के गुणधर्मों का अच्छी तरह से अभ्यास करें। अधिक से अधिक अभ्यास से ही सरणिक के गुणधर्मों को सीखा जा सकता हैं। You can suggest us to modify the solutions, so that it become more user friendly.

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##### What happened to the value of determinant if its rows and columns are interchanged?

The value of the determinant remains unchanged if its rows and columns are interchanged.

##### How will the value of determinant effected if any two rows (or columns) of a determinant are interchanged?

If any two rows (or columns) of a determinant are interchanged, then sign of determinant changes.

##### How will you solve a determinant which have identical elements in two rows or column?

If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then value of determinant is zero.

##### How many main properties are there in Class 12 Maths Exercise 4.2?

There are 6 main properties in Class 12 Maths Exercise 4.2. We solve most of the identities using these properties.