Let be a relation on defined by if and only if is divisible by 5 . Then is...

(d) : Reflexive : For \\ is divisible by 5 .\\ So, \\ is reflexive.\\ Symmetric : For , if is divisible by 5 . Then, is also divisible by 5 .\\ So, \\ is symmetric.\\ Transitive : For is divisible by 5 and is divisible by 5\\ Let and , where and are integers. and \\ Solving (i) and (ii), we get - be...

Let R be a relation on Z X Z defined by (a,b)R(c,d) if and only if ad - bc is divisible by 5 . Then R is: Relation (Mathematics)

Exam \textbf{(} $29^{th\ }$ \textbf{Jan} $1^{st\ }$ \textbf{Shift 2024)}

Mathematics

Let

R

be a relation on

Z \times Z

defined by

(a,b)R(c,d)

if and only if

ad - bc

is divisible by 5 . Then

R

Reflexive but neither symmetric nor transitive\\

Reflexive, symmetric and transitive\\

Reflexive and transitive but not symmetric\\

Reflexive and symmetric but not transitive\\

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

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