For \alpha \in N, consider a relation {\R} on N given by {\R} .=\{(x, y): 3 x+\alpha y is a multiple of 7\}. The relation R is an equivalence relation if and only if : [28-Jul-2022-Shift-1]

Correct Answer is : 4 is the remainder when α is divided by 7

4 is the remainder when \alpha is divided by 10

4 is the remainder when \alpha is divided by 7

Sets and Relations Part 1

Section: Mathematics

Question : 70 of 112

Marks: +1, -0

For α∈N, consider a relation R on N given by R.={(x,y):3x+αy is a multiple of 7}. The relation R is an equivalence relation if and only if :

[28-Jul-2022-Shift-1]

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