**NCERT Solutions for Class 12 Maths Chapter 1** : The best and most intelligent way to study the topic on relations and functions is using **NCERT Solutions**. Subject matter specialists have organized each solution based on the CBSE Board-recommended NCERT Syllabus. It is suggested that CBSE Class 12 students begin their study process by working through Class 12 Maths NCERT Solutions Ch 1 Relations & Functions.

You can obtain Exemplar Problems, **Ncert Books**, Notes, and Important Questions in addition to these NCERT Solutions for Class 12 Maths Chapter 1 to help you perform better on the yearly examinations. You will undoubtedly comprehend the entire chapter in a better way by using the NCERT Solutions for Maths Chapter 1 listed by exercise. **NCERT Solutions for Class 12 Maths Chapter 1** have been developed for CBSE students in the 12th grade.

**Also Read This : Physics wallah handwritten notes for class 12 Physics **

## NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

**Let us know about Relation And Function**

A relation is a set of ordered pairs (x, y) where x is from a set X and y is from a set Y. A function is a special type of relation where each element in the domain (set X) is paired with exactly one element in the range (set Y). In other words, for a function f(x), there can be no two different values of y that correspond to the same value of x. A function can also be represented using a set of ordered pairs (x, f(x)), where f(x) is the output of the function for a given input x.Informally, a function is a rule that assigns to each input exactly one output. A function can also be represented graphically by plotting the set of ordered pairs (x, f(x)) on a coordinate plane. The graph of a function is the set of all points (x, f(x)) in the coordinate plane.It can be represented by two ways:: f: X → Y, f(x) = yAlgebraic representation Geometrical representation: graph of the functionThe domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).Some others definitions :A function can also be represented using a mapping diagram, which shows how each element in the domain is paired with an element in the range.A function is said to be one-to-one if no two elements in the domain have the same corresponding element in the range. A function is said to be onto if every element in the range is the output of at least one element in the domain. A function is said to be bijective if it is both one-to-one and onto.Functions can also be composed, where the output of one function is used as the input of another function. Inverse of a function is the reflection of the graph of the function over the line y=x.A function can also be represented by using a table which shows the input-output pairs of the function. Note : Above explanation is a brief summary and there are many other concepts and formula in relation and function. |

The first chapter of Class 12 Maths, **Relation & Functions**, should be given the utmost priority. Because Relations and Functions have a significant role in the foundations of mathematics. It is significant since understanding ideas like calculus, integration, and analytic geometry depends on it. Finding whether the relation is transitive, reflexive, or symmetric will be challenging. Additionally, this chapter will teach you how to assess the Subjectivity and Injectivity of Functions.

You can browse and get the free** NCERT Solutions for Class 12 Maths Chapter 1** Relations and Functions Exercises 1.1, 1.2, 1.3, & 1.4 at NCERTpdfs.com with ease.

**Also Read This : Physics Wallah Notes for class 12 chemistry **

Class | 12 |

Book | Mathematics |

Subject | Maths |

Chapter Number | 1 |

Name of the Chapter | Relations and Functions |

## NCERT Solutions for Class 12 Maths Chapter 1 – Fully Solved Exercises

The Maths **NCERT Solutions for Class 12 Chapter 1** are without a doubt reliable because they were created by subject specialists. You may get detailed answers to all of the Relations and Functions Exercises 1.1, 1.2, 1.3, and 1.4 in NCERT Solutions for Class 12 Maths Chapter 1. Therefore, while preparing for your exam, **Download the NCERT Solutions for Class 12 Maths Chapter 1** from the following links and learn the fundamentals of each idea.

We attempted to simplify it by providing the Relations and Functions NCERT Solutions for Class 12 Maths Chapter 1 step-by-step so that you could easily understand the subject. These NCERT Solutions for Class 12 Maths Chapter 1 are available anywhere, so take advantage of them whenever you need to. Use our supplied NCERT Solutions for Class 12 Maths Chapter 1 to completely practise all relations and functions exercises from 1.1 to 1.4 and do well on your final board exams.

**Also Read This : NCERT Maths Book from Class 1 to 12 **

**Download NCERT Solution For Class 12th Chapter 1 From below Green link **

S.No | Chapter Name | Get Here |

1 | Relation And Function | Get Here |

2 | Inverse Trigonometric Functions | Get Here |

3 | Matrices | Get Here |

4 | Determinants | Get Here |

5 | Continuity And Differentiability | Get Here |

6 | Application Of derivatives | Get Here |

7 | Integrals | Get Here |

8 | App of integrals | Get Here |

9 | Differential Equations | Get Here |

10 | Vector Algebra | Get Here |

11 | Three Dimensional geometry | Get Here |

12 | Linear programing | Get Here |

13 | Probability | Get Here |

**Conclusion**

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## F&Q { NCERT Solutions for Class 12 Maths Chapter 1}

### What is the difference between a relation and a function?

A relation is a set of ordered pairs (x, y) where x is from a set X and y is from a set Y. A function is a special type of relation where each element in the domain (set X) is paired with exactly one element in the range (set Y). In other words, for a function f(x), there can be no two different values of y that correspond to the same value of x.

### How can you tell if a relation is a function?

To determine if a relation is a function, you can use the vertical line test. This test states that if you can draw a vertical line that intersects the graph of the relation in more than one point, then the relation is not a function. If the vertical line intersects the graph in only one point, then the relation is a function.

### How do you find the domain and range of a function?

The domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values). To find the domain of a function, you must identify all the x-values that are used in the function. To find the range, you must identify all the y-values that are produced by the function.

### What is the inverse of a function?

The inverse of a function is a new function that “undoes” the original function. In other words, if f(x) is a function, its inverse function, denoted as f^-1(x), will “undo” the action of the original function and return the input value. The inverse of a function can only be found if the function is bijective, meaning it is both one-to-one and onto.

### How can you compose functions?

Function composition is the process of applying one function to the results of another function. The notation for function composition is (f o g)(x), which is read as “f composed with g” or “f after g”. The function (f o g)(x) is equivalent to f(g(x)), meaning that the output of g(x) is used as the input for f(x).