Скачать или смотреть Relations and Functions Class 12

Relations Class 12
For Live Classes, Concept Videos, Quizzes, Mock Tests & Revision Notes please see our Website/App:
Our Website: http://bit.ly/2KBC0l1
Android App: https://bit.ly/3k48zdK

CBSE Class 12 Courses: https://bit.ly/4h0L7IN
CBSE Class 11 Courses: https://bit.ly/48isN9Q
CBSE Class 10 Courses: https://bit.ly/363U55V
CBSE Class 9 Courses: https://bit.ly/39Pm7mM
CBSE Class 8 Courses: https://bit.ly/3bJByzB

ICSE Class 10 Courses: https://bit.ly/2MaXpFo
ICSE Class 9 Courses: https://bit.ly/3iFV7dl
ICSE Class 8 Courses: https://bit.ly/3boM5OB

IGCSE Courses: https://bit.ly/2YNwQcn

Artificial Intelligence: https://bit.ly/3vm3FAE
Python Coding: https://bit.ly/3nX0s2y
Java Coding: https://bit.ly/3chHTAK

Facebook page: http://bit.ly/2s6VYhf

In mathematics, a relation is a way of showing a connection or relationship between elements of two sets. It tells us how elements from one set are related to elements from another or the same set. If we have two sets, say A and B, a relation R from A to B is a subset of the Cartesian product A × B.
That means R is a set of ordered pairs (a, b) where a is from set A and b is from set B.
If A and B are the same set, it is called a relation on a set.

Types of Relations:
1. Reflexive relation: A relation R on a set A is reflexive if for every element a in A, the pair (a, a) is in R. Example: "is equal to" — Every element is equal to itself.

2. Symmetric relation: A relation R is symmetric if whenever (a, b) is in R, then (b, a) is also in R. Example: "is a sibling of" — If A is a sibling of B, then B is a sibling of A.

3. Transitive relation: A relation R is transitive if whenever (a, b) and (b, c) are in R, then (a, c) is also in R. Example: "is an ancestor of" — If A is an ancestor of B, and B is an ancestor of C, then A is an ancestor of C.

Equivalence relation: A relation that is reflexive, symmetric, and transitive.

At Manocha Academy, learning Science and Math is Easy! The school coursework is explained with simple examples that you experience every day! Yes, Science & Math is all around you! Let's learn every day from everyday life!