Let `R` be the relation over the set of all straight lines in a plane such that `l_1\ R\ l_2hArrl_1_|_l_2`. Then, `R` is (a) symmetric (b) reflexive (c) transitive (d) an equivalence relation

Answer

a) symmetric

Explanation

For line` L_1 `, We know that it is never possible that `L_1 bot L_1`.

as` L_1` overlaps `L_1` thus angle b/w these 2 lines is ` 0^0` and not `90^0`

So, R is not reflexive .



For lines ` l_{1}, 1_{2},`

We know that ` l_{1} bot 1_{2} leftrightarrow 1_{2} bot 1_{1}`

So, R is symmetric.



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