Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:
Let a relation \(r\) be defined over the set of nonzero real numbers \(\mathbb{R}^{*}\) by \(arb\) if \(a=\frac{2}{b}\) then over \(R^{*}\) this relation \(r\) is
Options:
Reflexive but not symmetric and transitive
symmetric but not reflexive and transitive
transitive but not reflexive and symmetric
reflexive and transitive but not symmetric
Correct Answer:
symmetric but not reflexive and transitive
Explanation:
Check that \(r\) is symmetric