wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

Let R be the relation over the set of all straight lines in a plane such that l1 R l2 ⇔ l 1⊥ l2. Then, R is
(a) symmetric
(b) reflexive
(c) transitive
(d) an equivalence relation

Open in App
Solution

(a) symmetric

A = Set of all straight lines in the plane

R=l1, l2 : l1, l2A : l1l2Reflexivity: l1 is not l1l1, l1RSo, R is not reflexive on A.Symmetry: Let l1, l2Rl1l2l2l1l2, l1RSo, R is symmetric on A.Transitivity: Let l1, l2R, l2, l3Rl1 l2 and l2 l3But l1 is not l3l1, l3RSo, R is not transitive on A.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Mirror Effect
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon