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Navigating the CBSE Board Exams 2025: A Comprehensive Guide

Navigating the CBSE Board Exams 2025: A Comprehensive Guide

[ez-toc] TheCBSE Board Exams 2025loom large, a pivotal moment in the academic lives of countless students across India. This comprehensive guide aims to equip you with the strategies, knowledge, and confidence to not only navigate these exams but to truly excel. The...

Cartesian Product

The cartesian product of two sets A and B is defined as a set formed by all the possible ordered pairs of elements from A and B, such that the first element comes from set A and the second element comes from set B. The cartesian product is denoted as A × B. ​Let a and...

Ordered Pairs

An ordered pair is a 2-tuple formed by taking two elements (generally numbers but can be alphabets, characters, words or symbols). The general form of representation is (a, b) where a and b represent two distinct objects. The important thing with ordered pairs is that...

Tuples

In mathematics, a tuple or a sequence is a list of objects arranged in an order. Such a list may have repeated objects but the order is more important. Such sequences or tuples are denoted as ( t1, t2, t3, …., tn ) where tn is the nth element of the list. Below are a...
Relations & Sets

Relations & Sets

A Relation from set A to set B is defined as a set of ordered pairs formed from the elements of set A and B. In other words, a relation is a subset of the cartesian product of sets A and B. The subset is derived by establishing predicate filter(s) or criteria stating...

Even & Odd Functions 

A function is said to be an even function if the sign of the image does not change when the sign of the preimage changes. Conversely, a function is called an odd function when the sign of the image changes when the sign of the preimage changes. For Even functions,...