by Tiwari Academy
NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise Relations and Functions modified for Academic Session 2025-26 in English and Hindi Medium. The misc. exercise solution is updated deleting the questions which are not in syllabus for session 2025-26.
12th Maths Chapter 1 Misc. Exercise Solutions
12th Maths Chapter 1 Misc. Exercise (Old Version)
12th Maths Chapter 1 Misc. Exercise in Hindi
Class 12 Maths Chapter 1 MCQ Solutions
Class 12 Maths Chapter 1 Solutions
Class 12 Maths NCERT Solutions
Class 12 all Subjects NCERT Solutions
| Class: 12 | Mathematics |
| Chapter 1: | Miscellaneous Exercise |
| Chapter Name: | Relations and Functions |
| Content: | NCERT Exercise Answers |
| Content Type: | Text and Videos Format |
| Session: | 2025-26 |
| Medium: | English and Hindi Medium |
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12th Maths Chapter 1 Miscellaneous Exercise in Hindi and English
NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise
Grade XII Mathematics chapter 1 miscellaneous exercise solutions to download free or use it online only for new academic session 2025-26. All the NCERT Solutions are applicable for the students of UP Board, Bihar Board, MP Board, CBSE and all other who are using NCERT Books for their exams based on CBSE Curriculum.
12th Maths Miscellaneous Exercise 1 Solutions
NCERT Solutions for Class 12 Mathematics Chapter 1 Miscellaneous Exercise 1 of Relations and Functions in PDF format as well as to use online for new academic session. This exercise contains the various questions based on all four exercises. Download NCERT Books 2025-26 based on latest CBSE Syllabus. Join the discussion forum to ask your doubts related CBSE Board as well as NIOS board.
Class 12 Maths Miscellaneous Exercise 1 Solution in Videos
About 12 Maths Chapter 1 Miscellaneous Exercise
In Class 12 Maths Chapter 1 Miscellaneous Exercise, the basic questions are based on Exercise 1.1 or Exercise 1.2. Some question which are based on to find the inverse of function are based on Exercise 1.3. Questions based on Binary Operation are also given which we have learnt in Exercise 1.4. It is just a good practice of all the exercises.
Universal relation is the relation R in X given by R = X × X.
Empty relation is the relation R in X given by R = φ ⊂ X × X.
Feedback and Suggestions
The miscellaneous exercise is one of the most important exercise for the board exams. Apart from this, student must do the examples given just before the miscellaneous exercise. These are frequently asked in board exam papers. Provide your feedback to help us in improving the contents. Download Offline Apps following the current CBSE Syllabus for all boards who are using NCERT Books. Join the discussion forum as it is knowledge sharing platform to all the users.
Which sums of miscellaneous exercise of chapter 1 are the most important from exam point of view?
Miscellaneous exercise of chapter 1 (class 12th Maths) has 11 examples (examples 41 to 51) and 19 questions. All questions and examples of this exercise are nice, interesting and logical. All problems of this exercise are important for exams, but the most important problems are examples 41, 42, 43, 45, 46, 47, 48, 51 and questions 3, 4, 8, 9, 10, 11, 13, 14, 16, 17, 19.
Can students prepare miscellaneous exercise on chapter 1 of class 12th Maths in 2 days only?
Students can prepare miscellaneous exercise on chapter 1 of class 12th Maths in 5 days or not depends on the student’s working speed, efficiency, capability, and many other factors. But if they give 2 hours per day to this exercise, they can easily prepare miscellaneous exercise on chapter 1 of class 12th Maths in 5 days.
Is miscellaneous exercise on chapter 1 of grade 12th Maths important for Exams?
Yes, most of the students find miscellaneous exercise on chapter 1 of grade 12th Maths a little challenging compared to other exercises of chapter 1 of 12th Maths. Questions of this exercise are interesting and require logical thinking.
What types of questions are there in miscellaneous exercise on chapter 1 of in 12th Maths?
Miscellaneous exercise on chapter 1 of grade 12th Maths contains mixed questions based on all concepts (Relations, Functions, Composition of Functions, Invertible Functions, Binary Operations) mentioned in chapter 1 of class 12th Maths. Students can judge their knowledge of chapter 1 of class 12th Maths by doing this exercise.
