Functions Question 470
Question: R is a relation from $ {11,12,13} $ to $ {8,10,12} $ defined by $ y=x-3. $ The relation $ {R^{-1}} $ is
Options:
A) $ {(11,8),(13,10)} $
B) $ {(8,11),(10,13)} $
C) $ {(8,11),(9,12),(10,13)} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] We have, R={$(x,y):y=x-3,x=11 $ or 12 or 13, $ y=8 $ or 10 or 12} $ $ ={(11,8),(13,10)} $
$ \therefore {R^{-1}}{(y,x):(x,y)\in R}={(8,11),(10,13)} $
BETA
