Functions Question 477
Question: The relation R defined in $ A={1,2,3} $ by aRb, if $ | a^{2}-b^{2} |\le 5. $ Which of the following is false?
Options:
A) $ R={(1,1),(2,2),(3,3),(2,1),(1,2),(2,3),(3,2)} $
B) $ {R^{-1}}=R $
C) Domain of $ R={1,2,3} $
D) Range of $ R={5} $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ R={(1,1),(1,2),(2,1),(2,2),(2,3),(3,2),(3,3)} $ $ {R^{-1}}={(y,x):(x,y)\in R} $ $ ={(1,1),(2,1),(1,2),(2,2),(3,2),(2,3),(3,3)}=R. $ Domain of R $ ={x:(x,y)\in R}={1,2,3} $ Range of R $ ={y:(x,y)\in R}={1,2,3} $
BETA
