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Let, R = {(a, b): a, b ϵ N and a2 = b}, then what is the relation R
  • a)
    Reflexive
  • b)
    Symmetric
  • c)
    Transitive
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let, R = {(a, b): a, b N and a2 = b}, then what is the relation Ra)Re...
Here,  R = {(a, b): a, b ϵ N and a2 = b}
1. Relation R is not reflexive since, 2 ≠ 22
2. Since, 22 = 4 so,  (2, 4) belong to R
But,  4 ≠ 2 and so, R is not symmetric
3. Since, 42 = 16, so (4, 16) belong to R
Also, 162 = 256,  so (16, 256) belong to R
But, 42 ≠ 256  so R is not transitive.
So, R satisfies none of the reflexivity, symmetry and transitivity.
Hence, option (4) is correct. 
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Let, R = {(a, b): a, b N and a2 = b}, then what is the relation Ra)Reflexiveb)Symmetricc)Transitived)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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