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Relations and Functions
NCERT Class 12
CBSE
Grade 12
Question:
Let $R$ be a relation in $\mathbb{R}$ defined as $a R b \iff a \le b^2$. Then $R$ is: (a) Neither reflexive, nor symmetric, nor transitive (b) Reflexive and symmetric (c) Transitive only (d) Equivalence relation
Step-by-Step Solution
Not reflexive ($1/2 > 1/4$). Not symmetric ($1 \le 4$, $2 \le 1$ false). Not transitive. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting Neither reflexive, nor symmetric, nor transitive: 1.0 Mark
Correct Answer:Neither reflexive, nor symmetric, nor transitive
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