wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

A relation R is defined as aRb if a is the father of b. Then R is

A
reflexive
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
symmetric
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
transitive
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D none of these
Given : R={(a,b):a is the father of b}
(i) (a,a)R as a can not be father of a.
So, R is not reflexive.

(ii) Now if aRb is true, then a is the father of b.
(b,a)R as b cannot be father of a.
So, R is not symmetric.

(iii) Let (a,b)R and (b,c)R
Hence, a is father of b and b is father of c.
(a,c)R as a is not the father of c.
So, R is not transitive.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Types of Relations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon