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Let the relations R 1 and R 2 on the set X = {1, 2, 3, ..., 20} be given by R 1 = {(x, y) : 2x – 3y = 2} and R 2 = {(x, y) : – 5x + 4y = 0}. If M and N be the minimum number of elem ents required to be added in R 1 and R 2 , respectively, in order to make the relations symmetric, then M + N equals

1. 8
2. 16
3. 12
4. 10

Correct answer: 10

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