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(D) The relation $R$ is defined as $l_1 R l_2$ if $l_1 \parallel l_2$.$1$. Reflexive: Since any line $l_1$ is parallel to itself $(l_1 \parallel l_1)$

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All of the above

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(D) The relation $R$ is defined as $l_1 R l_2$ if $l_1 \parallel l_2$.$1$. Reflexive: Since any line $l_1$ is parallel to itself $(l_1 \parallel l_1)$,the relation is reflexive.$2$. Symmetric: If $l_1 \parallel l_2$,then $l_2 \parallel l_1$. Thus,the relation is symmetric.$3$. Transitive: If $l_1 \parallel l_2$ and $l_2 \parallel l_3$,then $l_1 \parallel l_3$. Thus,the relation is transitive.Since the relation is reflexive,symmetric,and transitive,it is an equivalence relation. Therefore,the correct option is $(d)$.

Let $L$ be the set of all straight lines in the Euclidean plane. Two lines $l_1$ and $l_2$ are said to be related by the relation $R$ if and only if $l_1$ is parallel to $l_2$. Then the relation $R$ is

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