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

• A. {(1,2), (3,1), (1,3), (1,5)}
• B. {(1, 2), (3, 1), (2, 1)}
• C. {(1, 2), (5, 1), (3, 1)}
• D. None of these

Answer 1

The correct option is C

{(1, 2), (5, 1), (3, 1)}

( x,y) $\in$ R ⇔ (y,x) $\in R^{-1},$ $\therefore$ $R^{-1}=\left\{\right(3,1),(5,1),(1,2\left)\right\}$.