NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Solutions For Class 11 Maths Chapter 2 Relations and Functions:** The NCERT solutions for class 11 maths chapter 2 provided in this article have been prepared by maths experts with years of experience. The faculty at Embibe take pride in preparing study materials, important questions, mock tests, and other resources to help students with their board exam preparation. From this article, students will be able to download the class 11 maths chapter 2 exercise, solved questions.

Relations and Functions covers topics like sets, subset, relations between quantities, numbers, algebraic identities, etc. The chapter also deals with the concepts of domain, range, and functions along with relationships of each topic and their uses.

The chapter consists of 3 exercises with 6 topics. Solutions to 13 questions of exercise 2.1, 9 questions of exercise 2.2, and 5 questions of exercise 2.3 have been given. The answers to miscellaneous exercise questions are also made available to the students. Before knowing the NCERT solutions for chapter 2 of Class 11 Maths, here is an overview of the important topics:

Chapters | Topics |
---|---|

2.1 | Introduction |

2.2 | Cartesian Products of Sets |

2.3 | Relations |

2.4 | Functions |

2.4.1 | Some Functions and their Graphs |

2.4.2 | Algebra of Real Functions |

We have provided some important points that are covered in NCERT Class 11 Maths Chapter 2 to help students in their exam preparations. Refer to the list below:

- An ordered pair consists of two objects or elements in a given fixed order.
- (a
_{1}, b_{1}) = (a_{2}, b_{2}) ⇔ a_{1}= a_{2}and b_{1}= b_{2} - If A and B are two non-empty sets, then A × B = {(a,b) : a ∈ A, b ∈ B} is called the Cartesian product of A and B.
- If A and B are finite sets having m and n elements respectively, then A × B has mn elements.
- R × R = {(x, y) : x, y ∈ R} is the set of all points in the XY-plane.
- R × R × R = {(x, y, z) : x, y, z ∈ R} is the set of all points in three-dimensional space.
- If A and B are finite sets having m and n elements respectively. Then, 2
^{mn}relations can be defined from A to B.

Students can visit Embibe to get free access to all the important points for NCERT Class 11 Maths Chapter 2 Relations and Functions.

The NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

**1st Chapter: Sets****2nd Chapter: Relations and Functions****3rd Chapter: Trigonometric Functions****4th Chapter: Principle of Mathematical Induction****5th Chapter: Complex Numbers and Quadratic Equations****6th Chapter: Linear Inequalities****7th Chapter: Permutations and Combinations****8th Chapter: Binomial Theorem****9th Chapter: Sequences and Series****10th Chapter: Straight Lines****11th Chapter: Conic Sections****12th Chapter: Introduction to Three Dimensional Geometry****13th Chapter: Limits and Derivatives****14th Chapter: Mathematical Reasoning****15th Chapter: Statistics****16th Chapter: Probability**

**Ans: **A relation R from a set A to a set B is a subset of the cartesian product A x B obtained by describing a relationship between the first element x and the second element y of the ordered pairs in A x B.

**Ans: **All class 11 maths NCERT solutions PDFs are available for free on Embibe.

**Ans**: For Class 11 final exams, NCERT books along with previous year question papers are sufficient. However, for competitive exams like JEE Main, JEE Advanced, and BITSAT, you need to refer to some advanced-level books as well.

**Ans:** To score good marks in Class 11 Maths, students must practice the NCERT solutions for all chapters, practice sample papers and previous year question papers, prepare notes for every subject, work on their areas of improvement.

**Ans**: By solving NCERT solutions, students can tackle the question paper with ease. Moreover, they can build the fundamentals for competitive exams. Student’s confidence gets improved and they become efficient in the subject.