NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4 is covered in this article. This Chapter 1 Relations and Functions Exercise includes questions of binary operations - binary addition, binary subtraction, binary multiplication, and binary division. The questions also include checking whether the given functions are binary or not using commutative and associative properties.

Download PDF of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4

Read More: NCERT Solutions For Class 12 Mathematics Chapter 1 Relation and Functions

Check other exercise solutions of Class 12 Maths Chapter 1 Relations and Functions

Class 12 Chapter 1 Relations and Functions Topics:

Types of Functions	Binary Operations	Difference Between Relation and Functions
Onto Function	Modulus Function	Signum Function
Composition of Functions and Invertible Function	Binary Multiplication	Binary Addition
Types of Relations	Absolute value formula	Reflexive Relation

CBSE Class 12 Mathematics Study Guides:

Algebra	Arithmetic	Calculus
Mensuration	Trigonometry	Geometry
Permutation and Combination	Math Study Notes	Math MCQs
NCERT Solutions for Class 12 Maths	Math Formula	Difference between in Math

CBSE CLASS XII Related Questions

1.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is
- Reflexive only
- Reflexive and Transitive
- Symmetric and Transitive
- Symmetric only
View Solution
2.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- \(-\frac{\pi}{2}\)
- \(-\frac{\pi}{4}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{2}\)
View Solution
3.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).
View Solution
4.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :
5.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]
View Solution
6.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
View Solution

Similar Mathematics Concepts

Relations and Functions: Explanation, Types, and Representation

Signum Function: Concept, Equation, and Graph

Greatest Integer Function: Domain, Range, Graph & Examples

Difference Between Relation and Function

Difference Between Codomain and Range

NCERT Solutions For Class 12 Mathematics Chapter 1 Relation and Functions

NCERT Solutions For Class 11 Maths Chapter 2: Relations and Functions

Analytic Function: Formula, Examples, Sample Questions

Cosecant Function: Definition, Formula, Graph & Solved Examples

Binary Multiplication: Explanation, Rules & Solved Examples

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Matrices: Types, Properties, Formulas & Examples

Relations and Functions: Explanation, Types, and Representation

Types of Matrices: Row, Column, Zero, Symmetric, Skew Symmetric

Minors and Cofactors of Determinant: Definition, Formula and Solved Examples

Operations on Matrices: Addition, Subtraction, Multiplication and Solved Examples

Determinants: Types, Properties & Examples

Types of Relations: Definition, Classification and Examples

Properties of Determinants: Explanation, Important Properties and Examples

Plane: Equation of a Plane in Three-Dimensional Space

Invertible Matrices: Theorems, Properties and Examples

Symmetric and Skew Symmetric Matrices: Definition and Properties

Types of Functions: Elements, Equations, Range, and Domain

Introduction to Three-Dimensional Geometry: Distance, Important Formulae

Angle between Two Lines: Formula, Derivation & Calculation

Binary Operations: Types, Properties and Examples

Addition of Vectors: Definition, Formula, Laws and Properties

Types of Vectors: Definition, Properties & Examples

Definite Integral: Formula, Properties, Application & Examples

Integration by Partial Fractions: Formula, Steps & Examples

Angle Between a Line and a Plane: Formulas and Solved Examples

Mathematics NCERT Solutions

NCERT Solutions For Class 12 Mathematics Chapter 13: Probability

NCERT Solutions For Class 12 Mathematics Chapter 9: Differential Equations

NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

NCERT Solutions For Class 12 Mathematics Chapter 12: Linear Programming

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

NCERT Solutions For Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

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