Sets Relations And Functions Question 52
Question: Let A = {1, 2, 3}, B = {1, 3, 5}. A relation $ R:A\to B $ is defined by R = {(1, 3), (1, 5), (2, 1)}. Then $ {R^{-1}} $ is defined by
Options:
A) {(1,2), (3,1), (1,3), (1,5)}
B) {(1, 2), (3, 1), (2, 1)}
C) None of these
D) {(1, 2), (5, 1), (3, 1)}
Show Answer
Answer:
Correct Answer: C
Solution:
- $ (x,y)\in R\Leftrightarrow (y,x)\in {R^{-1}} $ ,
$ \therefore $ $ {R^{-1}}={(3,1),(5,1),(1,2)} $ .
BETA
