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Question

Let L be the set of all straight lines in the Euclidean plane. Two lines l1 and l2 are said to be related by the relation R if l1 is parallel to l2. Then the relation R is

A
Reflexive
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B
Reflexive but not symmetric
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C
reflexive but not transitive
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D
transitive
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Solution

The correct option is D transitive
l1 R l1 as l1 is parallel to itself, So it is reflexive.
l1 R l2l2 R l1, which is true, so it is symmetric.
l1 R l2 and l2 R l3 l1 R l3, which is true, so it is transitive.

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