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IIT JEE Advanced 2025: The Indian Institute of Technology Kanpur (IIT Kanpur) has announced that the JEE Advanced 2025 exam will be held on Sunday, May 18, 2025. This engineering entrance exam serves as a pathway for admission to Bachelor of Technology (BTech) programs offered by the Indian Institutes of Technology (IITs).
JEE Main 2025: January session exam dates announced, check full schedule here The National Testing Agency (NTA) has released the schedule for JEE Main 2025 January session. Paper 1 and Paper 2 exams will take place from January 22 to 30, with two shifts for Paper 1.
JEE Main 2025: January session exam dates announced, check full schedule here The National Testing Agency (NTA) has released the schedule for JEE Main 2025 January session. Paper 1 and Paper 2 exams will take place from January 22 to 30, with two shifts for Paper 1.
We are providing here the CBSE Class 10 Syllabus 2021-22. Students of class 10 can download from here the new syllabus of all subjects to know the course structure and assessment scheme for the new academic year and plan their studies accordingly.
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Much of mathematics is about finding a pattern – a recognisable link between quantities that change. In our daily life, we come across many patterns that characterise relations such as brother and sister, father and son, teacher and student. In mathematics also, we come across many relations such as number m is less than number n, line l is parallel to line m, set A is a subset of set B. In all these, we notice that a relation involves pairs of objects in certain order. In this Chapter, we will learn how to link pairs of objects from two sets and then introduce relations between the two objects in the pair. Finally, we will learn about special relations which will qualify to be functions. The concept of function is very important in mathematics since it captures the idea of a mathematically precise correspondence between one quantity with the other.
The concept of set serves as a fundamental part of the present day mathematics. Today this concept is being used in almost every branch of mathematics. Sets are used to define the concepts of relations and functions. The study of geometry, sequences, probability, etc. requires the knowledge of sets. The theory of sets was developed by German mathematician Georg Cantor (1845-1918). He first encountered sets while working on “problems on trigonometric series”. In this Chapter, we discuss some basic definitions and operations involving sets.
We shall say that a set is a well-defined collection of objects.
The following points may be noted :
- Objects, elements and members of a set are synonymous terms.
- Sets are usually denoted by capital letters A, B, C, X, Y, Z, etc.
- The elements of a set are represented by small letters a, b, c, x, y, z, etc
