If R = {(1,2)}, why is R not symmetric?
Answer and explanation
Correct answer: (2,1) अनुपस्थित है
The governing rule for symmetry is: whenever (a,b) belongs to R, the reversed pair (b,a) must also belong to R. Here (1,2) is present, so symmetry requires (2,1). That reverse pair is absent, and therefore R is not symmetric. The absence of (1,1) or (2,2) is irrelevant, while the presence of (1,2) alone does not establish symmetry. Hence B is correct.
Frequently asked questions
What is the correct answer to this question?
(2,1) अनुपस्थित है
Why is this the correct answer?
The governing rule for symmetry is: whenever (a,b) belongs to R, the reversed pair (b,a) must also belong to R. Here (1,2) is present, so symmetry requires (2,1). That reverse pair is absent, and therefore R is not symmetric. The absence of (1,1) or (2,2) is irrelevant, while the presence of (1,2) alone does not establish symmetry. Hence B is correct.
Which subject and chapter does this question cover?
This is a Class 11 Applied Mathematics question. Chapter: Algebra. Topic: Relations.
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