# NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise 4 Determinants in Hindi Medium as well as English Medium. 12th Maths Solutions are free to download for all board like – UP Board, MP Board, CBSE, Uttarakhand and all others board based on NCERT Textbooks. Uttar Pradesh students of Intermediate also use these solutions for their school and board exams. UP Board students are also using NCERT Textbooks for their course, so download UP Board Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise from here in English and Hindi Medium. Videos related to each question in Hindi and English is given below for the convenience of the students.

NCERT Solutions 2020-21 are applicable for those who are using the New NCERT Textbooks for their 2020-21 exams. Miscellaneous exercises of all chapters are important as it contains the quality questions of exercises of the same chapter.## NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

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

Chapter 4: | Miscellaneous Exercise 4 |

### 12th Maths Miscellaneous Exercise 4 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise 4 Solutions in English as well as Hindi Medium free to download updated for new academic session 2020-2021. In NCERT Books of 12 Maths, Miscellaneous exercise 4, important questions from all exercises are included as well as new questions based on tricks are also there. Ask your doubts related to NIOS admission and CBSE Contents related to CBSE Syllabus through Discussion Forum.

### Class 12 Maths Miscellaneous Exercise 4 Solutions in Hindi & English

#### Class 12 Maths Miscellaneous Ex. 4 Questions 1, 2 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 3, 4 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 5, 6 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 7, 8 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 8, 9 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 10, 11 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 12, 13 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 14, 15 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 16, 17 in Video

#### Class 12 Maths Miscellaneous Ex. 4 Questions 18, 19 in Video

#### Class 12 Maths Miscellaneous Exercise 4 Solution in Hindi

#### 12th Maths Miscellaneous Exercise 4 Question 19

#### About Miscellaneous Exercise 4

All the questions of Miscellaneous Exercise on Chapter 4 are important in order to prepare for exams. It also provides a good revision of previous exercises of Determinants. After doing this exercise, you should go for Exemplar Problems Questions, which will make you more confident on Determinants.

##### आव्यूह और सारणिक

विविध प्रशनाली ४ में कई प्रश्न सारणिक के गुणधर्मों पर आधारित है। जो अभ्यास के लिए बहुत अच्छे है। रैखिक समीकरणों को आव्यूह और सारणिक के माध्यम से हल करना तथा दैनिक जीवन पर आधारित कुछ विशेष स्थितियों में सारणिक को लागू करके, उसे हल करना आदि इस प्रश्नावली में सम्मिलित है।

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##### How do you find the determinant of a 2×2 matrix?

To calculate a determinant of a 2×2 matrix, we multiply the top left to bottom right diagonal, and from this we subtract the product of bottom left to top right diagonal.

##### How do you find the minor of an element?

Minor of an element aij of the determinant of matrix A is the determinant obtained by deleting ith row and jth column and denoted by Mij.

##### What is a singular Matrix?

If the value of a determinant is zero for any square matrix, then the matrix is said to be a singular matrix.

##### Can we find the inverse of a singular matrix?

No, a square matrix has inverse if and only if it is non-singular.