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If set A = {1,2,3,4,5}, then which of the following is a void relation from A \rightarrow A ?

  • Option 1)

    \left \{ (a,b) : a\times b =6 \right \}

  • Option 2)

    \left \{ (a,b) : a\times b =15 \right \}

  • Option 3)

    \left \{ (a,b) : a\times b =40\right \}

  • Option 4)

    \left \{ (a,b) : a\times b =16 \right \}

 

Answers (1)

best_answer

As we have learnt,

 

Void relation -

No element in the relation.

- wherein

\phi \subseteq AXA

 

 a\times b =40 is not possible since no two numbers can give the product 40 in set A.

 


Option 1)

\left \{ (a,b) : a\times b =6 \right \}

Option 2)

\left \{ (a,b) : a\times b =15 \right \}

Option 3)

\left \{ (a,b) : a\times b =40\right \}

Option 4)

\left \{ (a,b) : a\times b =16 \right \}

Posted by

Himanshu

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