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 \[R=\{5\}\]
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\[=\{y:(x,y)\in R\}=\{1,2,3\}\]
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