Let R be a relation on real numbers defined by aRb if 1 + ab > 0. This relation is:

Let R be a relation on real numbers defined by aRb if 1 + ab > 0. This relation is:

• A. Reflexive and symmetric
• B. Reflexive and transitive
• C. Symmetric and transitive
• D. Equivalence

Answer: A) Reflexive and symmetric

Explanation: Reflexive: 1 + a² > 0 is always true for real a. Symmetric: If 1 + ab > 0, then 1 + ba > 0. Not transitive: take a=−1, b=0, c=2. 1+(−1)(0) > 0 and 1+(0)(2) > 0, but 1+(−1)(2) = −1 > 0 is false.