Question

Given set A = {a, b, c). An identity relation in set A is ? R = {(a, b), (a, c)} R = {(a, a), (b, b), (c, c)} R = {(a, a), (b, b), (c, c), (a, c)} R= {(c, a), (b, a), (a, a)} Which is correct of the 4 options?

Answer 1

Given:  The set A =  {a, b, c}

To find: The identity relation on set A.

Solution:

• Identity relation is a relation in which both the elements are same.

               example: (a,b) , where a = b.

• Now the set given is:

               A =  {a, b, c}

               I(A) = { (a,a) , (b,b) , (c,c) }

• So the third option is correct.

Answer:

         So the identity elements are R = { (a,a) , (b,b) , (c,c) } , 3rd option.

Answer 2

Answer:

Given:  The set A =  {a, b, c}

To find: The identity relation on set A.

Solution:

Identity relation is a relation in which both the elements are same.

               example: (a,b) , where a = b.

Now the set given is:

               A =  {a, b, c}

               I(A) = { (a,a) , (b,b) , (c,c) }

So the third option is correct.

Answer:

         So the identity elements are R = { (a,a) , (b,b) , (c,c) } , 3rd option.

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