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# I. A relation $R_1$ from $A_1$= {1, 4, 9} to $B_1$ = (−3, −2, −1, 1, 2, 3} is defined as $R_1$ = $\{(x, y): x =y^2$ and $x \in A_1, y \in B_1\}$. II. A relation $R_2$ from $A_2$ = {9, 16, 25, 36} to $B_2$ = {−4, −3, 5, 6} is defined as $R_2 = \{(x, y) : x = y^2$ and $x \in A_2, y \in B_2\}.$  III. A relation $R_3$ from $A_3$ = {3, 4, 5} to $B_3$ = {1, 5, 6} is defined as $R_3 = \{(x, y): x$ and y are co-prime, where $x \in A_3, y \in B_3\}$.  IV. A relation $R_4$ from $A_4$ = {2, 3, 9} to $B_4$ = {3, 4} is defined as $R_4 = \{(x, y) : x$, and y are co-prime, where $x \in A_4, y \in B_4\}.$  Which of the following statements is correct?

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Relations $R_2$ and $R_4$ are functions.
Hence (B) is the correct answer.
answered Jun 28, 2014