Class 12 Maths NCERT Solutions of the Chapter 1- Relations and functions-Download free pdf - Future Study Point

Class 12 Maths NCERT Solutions of the Chapter 1- Relations and functions-Download free pdf

class 12 maths ncert solutions chapter 1-sets

Class 12 Maths NCERT Solutions of Chapter 1- Relations and functions

Here you can download maths PDF of class 12 maths NCERT solutions of the chapter 1-Relations and Functions. All the questions of the chapter 1-Relations and Functions are solved by an expert in the maths as per the CBSE norms. The  NCERT solutions of chapter 1 -Relations and Functions will clear your maths fundamentals which are required to learn higher mathematics.PDF of class 12 maths NCERT solutions of the chapter 1-Relations and Functions will help you in your study when you are offline.

class 12 maths ncert solutions chapter 1-sets

Class 12 maths NCERT solutions of chapter 1-Relations and Functions(PDF)

Introduction- An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

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Definition of Function- Some relationships make sense and others don’t. Functions are relationships that make sense. All functions are relations, but not all relations are functions.

Relations and functions

 

A function is a relation that for each input, there is only one output.

Here are the mappings of functions. The domain is the input or the x –value and the range is the output or the y-value.

Class 12 maths Dpmain and range of the function

 

Although the inputs equal to -2 and 2 have the same output, this relation is still a function because each input has just one output.

 

In the following case mapping is not a function. The input for -4 has more than one output 4 and 16.

domain and range

 

 

Graphing Functions

Using inputs and outputs listed in tables, maps. And lists make it is easy to plot points on a coordinate grid. Using a graph of the data points, you can determine if a relation is a function by using the vertical line test if you can draw a vertical line through a graph and touch only one point, the relation is a function.

Take a look at the graph of this relation map. If you were to draw a vertical line through each of the points on the graph, each line would touch at one point, so this relation is a function.

graphic function

 

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NCERT Solutions of Class 11 Maths of ch.1-Sets(PDF)

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NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number SystemChapter 9-Areas of parallelogram and triangles
Chapter 2-PolynomialChapter 10-Circles
Chapter 3- Coordinate GeometryChapter 11-Construction
Chapter 4- Linear equations in two variablesChapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s GeometryChapter 13-Surface Areas and Volumes
Chapter 6-Lines and AnglesChapter 14-Statistics
Chapter 7-TrianglesChapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundingsChapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?Chapter 10- Gravitation
Chapter3- Atoms and MoleculesChapter 11- Work and Energy
Chapter 4-Structure of the AtomChapter 12- Sound
Chapter 5-Fundamental unit of lifeChapter 13-Why do we fall ill ?
Chapter 6- TissuesChapter 14- Natural Resources
Chapter 7- Diversity in living organismChapter 15-Improvement in food resources
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NCERT Solutions for class 10 maths

Chapter 1-Real numberChapter 9-Some application of Trigonometry
Chapter 2-PolynomialChapter 10-Circles
Chapter 3-Linear equationsChapter 11- Construction
Chapter 4- Quadratic equationsChapter 12-Area related to circle
Chapter 5-Arithmetic ProgressionChapter 13-Surface areas and Volume
Chapter 6-TriangleChapter 14-Statistics
Chapter 7- Co-ordinate geometryChapter 15-Probability
Chapter 8-Trigonometry

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NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equationsChapter 9- Heredity and Evolution
Chapter 2- Acid, Base and SaltChapter 10- Light reflection and refraction
Chapter 3- Metals and Non-MetalsChapter 11- Human eye and colorful world
Chapter 4- Carbon and its CompoundsChapter 12- Electricity
Chapter 5-Periodic classification of elementsChapter 13-Magnetic effect of electric current
Chapter 6- Life ProcessChapter 14-Sources of Energy
Chapter 7-Control and CoordinationChapter 15-Environment
Chapter 8- How do organisms reproduce?Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-SetsChapter 9-Sequences and Series
Chapter 2- Relations and functionsChapter 10- Straight Lines
Chapter 3- TrigonometryChapter 11-Conic Sections
Chapter 4-Principle of mathematical inductionChapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbersChapter 13- Limits and Derivatives
Chapter 6- Linear InequalitiesChapter 14-Mathematical Reasoning
Chapter 7- Permutations and CombinationsChapter 15- Statistics
Chapter 8- Binomial Theorem Chapter 16- Probability

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NCERT solutions for class 12 maths

Chapter 1-Relations and FunctionsChapter 9-Differential Equations
Chapter 2-Inverse Trigonometric FunctionsChapter 10-Vector Algebra
Chapter 3-MatricesChapter 11 – Three Dimensional Geometry
Chapter 4-DeterminantsChapter 12-Linear Programming
Chapter 5- Continuity and DifferentiabilityChapter 13-Probability
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Chapter 7- Integrals
Chapter 8-Application of Integrals

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