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  • Help me please, - Sets, Relations and Functions - JEE Main-8

If R is a relation on two lines L_1\: \: and\: \: L_{2} \: \: such\: \: that\: \: L_{1}RL_{2} .\: means\: L_1\parallel L_2. Then R is?

  • Option 1)

    Reflexive

  • Option 2)

    Symmetric

  • Option 3)

    Transitive

  • Option 4)

    Equivalence relation

 

Answers (1)

best_answer

As we learnt

 

Equivalence relation -

 

Any relation which is reflexive, symmetric and transitive is called an equivalence relation

-

 

 R is a reflexive relation since L_1\parallel L_2

R is a symmetric relation since if  L_1\parallel L_2\Rightarrow L_2= L

And transitive since L_1\parallel L_2 and L_2\parallel L_3\Rightarrow L_1\parallel L_3


Option 1)

Reflexive

Option 2)

Symmetric

Option 3)

Transitive

Option 4)

Equivalence relation

Posted by

Himanshu

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