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Let L denote the set of all straight lin...

Let `L` denote the set of all straight lines in a plane. Let a relation `R` be defined by `l\ R\ m` if and only if `l` is perpendicular to `m` `for all`, `l ,\ m in L`. Then, `R` is (a) reflexive (b) symmetric (c) transitive (d) none of these

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Verified by Experts

We know that if line l is perpendicular to line m, line m must also be perpendicular to line `l,`
So, `lRm⇔mRl` and thus Relation R is symmetric .
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  18. Let T be the set of all triangles in the Euclidean plane, and let a...

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