For , consider a relation on given by is a multiple of 7. The relation is an equivalence relation if and only if :...

(d) : is reflexive : is a multiple of 7 .\\ is a multiple of or \\ is symmetric : is a multiple of 7\\ is a multiple of 7\\ i.e., \\ i.e., or enumerate Similarly is transitive\\ i.e., \\ or \\ So, is equivalence relation iff 4 is the remainder when is divided by 7 . enumerate enumi. enumi17...

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

Exam ( $28^{th\ }$ July 1 $1^{st\ }$ Shift 2022)

Mathematics

For

\alpha \in N

, consider a relation

R

N

given by

R = \{(x,y):3x + \alpha y

is a multiple of 7

\}

. The relation

R

is an equivalence relation if and only if :

\alpha = 14

\alpha

is a multiple of 4

4 is the remainder when

\alpha

is divided by 10

4 is the remainder when

\alpha

is divided by 7

Select an option to instantly check whether it is correct or wrong.

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