# NCERT Solutions for Class 12 Maths Chapter 5 Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 5 Miscellaneous Exercise 5 (Class 12 Misc. 5) differentiation free to download or use online in Hindi Medium for the students using Books in Hindi and English Medium updated for new academic session 2021-22 based on new NCERT Books. UP Board students are also using NCERT Textbooks for session 2021-2022. So, class 12 (intermediate) students can take help to solve the misc. ex. 5 of 12th mathematics. Download UP Board Solutions for class 12 Maths Miscellaneous Exercise 5 in English Medium. Hindi Medium solutions are also given free to use. Videos related to Hindi and English Medium are separately given below.

These solutions are applicable for all the students using NCERT Books 2021-22 as a course book for their exams. If you are facing any problem to use these contents, please contact us for help. We will help you as soon as possible.## NCERT Solutions for Class 12 Maths Chapter 5 Miscellaneous Exercise

### Class 12 Maths Miscellaneous Exercise 5 Solutions in Hindi and English

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

Chapter 5: | Miscellaneous Exercise |

### 12th Maths Miscellaneous Exercise 5 Solutions

Miscellaneous Exercise contains the questions based on all exercises which may require the application of formulae used in two different exercises. Get the solutions of all exercises of Class 12 Mathematics Chapter 5 main page. Join the discussion forum to ask your doubts related to NIOS or CBSE Board.

#### Class 12 Maths Miscellaneous Exercise 5 Solution Videos

#### Class 12 Maths Miscellaneous Ex. 5 Solution Videos in Hindi

#### About Miscellaneous Exercise 5 of Maths 12

In Miscellaneous Exercise, questions are related to almost all exercises and all the concepts used in Chapter 5. Questions number 1, 2, 3, 4 and 8 are based on direct differentiation, questions 5, 6 and 13 are based on inverse trigonometry. Questions 7, 9, 10 and 11 are based on logarithm (Exercise 5.5) and question 17 is based on parametric differentiation. There is one question (question number 22) is based on differentiation of Determinants, in which we differentiate first row first and leaving the rest rows then add the next determinant differentiating second row and leaving the rest and finally adding the determinant differentiating the third row leaving the rest.

##### More about Miscellaneous Exercise 5

In Question 17, first find dy/dx using dy/dt and dx/dt and then find d²y/dx² keeping in mind that now we are differentiating with respect to x, so must multiply with dx/dt to get complete answer of d²y/dx². Question 20 and 21 can be done by direct differentiation with respect to any parameter assuming that A and B are related to each other with that parameter. Question 10, 14, 15, 16, 17 and 23 are important one as per the examination point of view.

Download NCERT Books for class 12 for new session 2021-22 and Offline Apps 2021-22 based on new CBSE Syllabus. Ask your doubts related to NIOS or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.

##### How many problems are there in the miscellaneous exercise on chapter 5 of class 12th Maths?

There are 28 problems (5 examples and 23 questions) in the miscellaneous exercise on chapter 5 of class 12th Maths. The most important problems of this exercise are examples 44, 45, 47 and questions 5, 6, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 23. These problems are important because these problems have already come in the exams many times.

##### What is the main concept of miscellaneous exercise in chapter 5 Class 12th Maths Book?

Miscellaneous exercise on chapter 5 of grade 12th Maths contains mixed problems based on all concepts mentioned in chapter 5 of class 12th Maths. Students can judge their knowledge of chapter 5 of class 12th Maths by doing this exercise.

##### Is miscellaneous exercise on chapter 5 of grade 12th Maths tough for a normal student?

Miscellaneous exercise on chapter 5 of class 12th Maths is not easy and not tough. It lies in the mid of easy and tough because some problems of this exercise are easy, and some are complex. However, the difficulty level of any topic/problem varies from child to child. So, miscellaneous exercise on chapter 5 of class 12th Maths is tough or not depends on children also. Some children find it complicated, some find it simple, and some find it in the middle of easy and difficult.

##### Is the miscellaneous exercise on chapter 5 of class 12th Maths lengthy?

Yes, the miscellaneous exercise on chapter 5 of class 12th Maths is a little lengthy. Students need a maximum of 4-5 days to complete miscellaneous exercise on chapter 5 of class 12th Maths if they give at least 1-2 hours per day to this exercise. This time depends on many factors like student’s working speed, efficiency, capability, etc.