If A = {1, 2, 3} and R = {(1,1), (2,2)}, why is R not reflexive?
Answer and explanation
Correct answer: क्योंकि (3,3) अनुपस्थित है
A relation R on A is reflexive when every element of A is related to itself; equivalently, (a,a) must belong to R for every a ∈ A. Although (1,1) and (2,2) are present, (3,3) is missing. One missing required diagonal pair is enough to disprove reflexivity, so option C is correct. The absence of (1,2) is irrelevant to this property.
Frequently asked questions
What is the correct answer to this question?
क्योंकि (3,3) अनुपस्थित है
Why is this the correct answer?
A relation R on A is reflexive when every element of A is related to itself; equivalently, (a,a) must belong to R for every a ∈ A. Although (1,1) and (2,2) are present, (3,3) is missing. One missing required diagonal pair is enough to disprove reflexivity, so option C is correct. The absence of (1,2) is irrelevant to this property.
Which subject and chapter does this question cover?
This is a Class 11 Mathematics question. Chapter: Relations and Functions. Topic: Relations.
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