Class 12 Exercise 1.2 of Maths Chapter 1 - Relation and Functions, is crucial for a solid foundation in math. Understanding the concept of the fundamental principles of relations and functions. Where students gain a deeper understanding of functions, a special type of relation where each input (...
(iii) Feasible and infeasible regions (iv) Optimal feasible solution Maths syllabus for CUET: Section B1 - Mathematics Core Unit Chapter Sub-Unit Relations and Functions Relations and functions Types of relations: Reflexive, symmetric, transitive and equivalence relations. One-to-one and onto fu...
In NCERT Relation and Function Class 11 Miscellaneous Exercise, one common mistake is confusing different types of functions and relations. It’s important to be clear about definitions and properties. Misunderstanding these can lead to errors. Pay close attention to the details in each problem. Pra...
Function as special case of relation Function as mapping, codomain, domain Different range of functions Even/odd functions Into/onto/one-to-one functions All special functions Difference, product, sum, & composition of functions Invertible functions Chapter 2: Algebra Complex number algebra ...
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Let , and partition the 8 elements of into equivalence classes as follows: The resulting equivalence relation clearly satisfies (PS1), since , , and are all in the same equivalence class. As for (PS2), you can scan the above equations and verify that for each , each of the three ...
We can now define the nonstandard orders of infinity to be the space of all non-negative functions defined for sufficiently large , modulo the equivalence relation defined previously. That is to say, a nonstandard order of infinity is an equivalence class of functions defined on elements of ...
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Access NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations Exercise 9.1 1. Determine order and degree (if defined) of differential equation$\frac{{{\text{d}}^{\text{4}}}\text{y}}{\text{d}{{\text{x}}^{\text{4}}}\text{+sin}\left( \text{y }\!\!'\!\!\tex...