Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:
Consider the relation \(R\) defined in the set \(\mathbb{R}\) of real numbers defined \(R=\{(a,b):a\leq b^2\}\). Which of the following is true?
Options:
\(R\) is an equivalence relation.
\(R\) is symmetric, transitive but not reflexive.
\(R\) is reflexive and symmetric but not transitive.
None of these
Correct Answer:
None of these
Explanation:
\(R\) is neither reflexive nor symmetric nor transitive