Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:
Let R be the set of real numbers. Define a relation p on R by p={(a,b)€R×R: a<=b^2}. Then p is
Options:
Reflexive
Symmetric
Transitive
None of the above
Correct Answer:
None of the above
Explanation:
p is not reflexive because (1/2,1/2) does not belong to p. p is not symmetric because (1,2) belongs to p but (2,1) does not belong to p. p is not transitive because (1,-1) belongs to p and (-1,0) belongs to p but (1,0) doesn't belong to p.