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
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Reflexive but not symmetric
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
reflexive but not transitive
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
transitive
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D transitive l1Rl1asl1 is parallel to itself, So it is reflexive. l1Rl2⇒l2Rl1, which is true, so it is symmetric. l1Rl2 and l2Rl3⇒l1Rl3, which is true, so it is transitive.