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  • Stuck here, help me understand: - Sets, Relations and Functions - JEE Main-3

If R : \left \{ (a,b) / b = 3a, a\in \mathbb N \right \}, whats the range of R ?

  • Option 1)

    {1,3,6,9,...}

  • Option 2)

    {3,9,27,81,...}

  • Option 3)

    {3,6,9,12,...}

  • Option 4)

    {6,12,18,...}

 

Answers (1)

best_answer

As we have learnt,

 

Range -

The range of the relation R is the set of all second elements of the ordered pairs in a relation R.

- wherein

eg. R={(a,b),(c,d)}. Then Range is {b,d}

 

 

 b = 3\mathbb N

i.e {3,6,9,12,...}


Option 1)

{1,3,6,9,...}

Option 2)

{3,9,27,81,...}

Option 3)

{3,6,9,12,...}

Option 4)

{6,12,18,...}

Posted by

Himanshu

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