Let $N$ denote the set of all natural numbers. Define two binary relations on $N$ as $R_1 = \{(x,y) \in N \times N : 2x + y= 10\}$ and $R_2 = \{(x,y) \in N\times N : x+ 2y= 10\} $. Then
Let $N$ denote the set of all natural numbers. Define two binary relations on $N$ as $R_1 = \{(x,y) \in N \times N : 2x + y= 10\}$ and $R_2 = \{(x,y) \in N\times N : x+ 2y= 10\} $. Then
- [JEE MAIN 2018]
- A
Both $R_1$ and $R_2$ are transitive relations
- B
Both $R_1$ and $R_2$ are symmetric relations
- C
Range of $R_2$ is $\{1, 2, 3, 4\}$
- D
Range of $R_1$ is $\{ 2, 4, 8\}$
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