A set is a well-defined collection of distinct objects or elements. These elements can be anything such as numbers, letters, or objects. Sets are usually denoted by curly brackets, e.g.,A = {1, 2, 3}. The elements of a set are unordered and do not repeat.
Class 12 Maths Relations and Functions Chapter 1 for CBSE Exam 2024-25 focuses on relations between sets and different types of functions like one-one and onto. It includes concepts such as domain and range of functions composite functions and inverse functions. This chapter is fundamental for building a strong mathematical foundation.
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We are given the relation R on the set N, defined as:
R = {(a, b) : a = b – 2, b > 6}
This is to say, for every pair (a, b), a should be b – 2, and b must be greater than 6.
(6, 8) ∈ R
– a = 6 and b = 8.
– a = b – 2 gives 6 = 8 – 2, which is true.
– b = 8 > 6, so the condition is satisfied.
– Therefore, (6, 8) ∈ R.
Check this more solutions:
https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-1