# NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise of Relations and Functions in English Medium and Hindi Medium to download free or use it online only for new academic session 2021-2022.

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 2021-22.## NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise

### Class 12 Maths Miscellaneous Exercise 1 in Hindi & English

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

Chapter 1: | Miscellaneous Exercise |

### 12th Maths Miscellaneous Exercise 1 Solutions

NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise 1 of Relations and Functions in PDF format as well as to use online for new academic session 2021-2022. This exercise contains the various questions based on all four exercises. Download NCERT Books 2021-22 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.

विविध प्रश्नावली बोर्ड की परीक्षा के लिए अत्यंत महत्वपूर्ण है। इस प्रश्नावली के सभी प्रश्न तथा इससे पहले दिए गए उदहारण बोर्ड परीक्षा में अक्सर पूंछे जाते हैं।

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##### 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 term I?

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.