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Mathematics

Reflexive relation

In Class 12 Mathematics, under Relations and Functions, students study a reflexive relation as a relation R on a set A in which every element is related to itself: (a, a) ∈ R for every a ∈ A. They learn to verify this condition from ordered pairs, tables, matrices, and arrow diagrams, and to identify examples and non-examples. The topic also helps students distinguish reflexivity from other relation properties such as symmetry and transitivity.

Medium · Level 7 · 4 questions

Practice questions

01Which option gives the best symbolic identification of a reflexive relation?

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02A student says that a relation on (A={1,2,3}) is reflexive because it contains ((1,1)) and ((2,2)). What missing point should the teacher mention?

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03If \(f(x)=2x+3\) and \(f(a)=11\), what is the value of \(a\)?

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04If \(f(x)=kx-3\) and \(f(4)=17\), what is the value of \(k\)?

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