Question

If {(a,b),( 7,b)} represents an identity function, then the value of a and b are respectively a) (5, 7) b) (5, 5) c) (7, 5) d) (7, 7)​

Answer 1

a = 7

b = 5

$c) (7,5)$

Answer 2

Answer: values are a = 7, b = 7

Step-by-step explanation:

• If M is a set the Identity function f on M is a function which satisfies the condition f(x) = x for all elements x in M.

• In other words the function value f(x) in the codomain M is always same as the preimage x in the domain M.

• Therefore in the Identity function image is same as the input element.
• Given identity function is {(a , b), (7, b)}

• Since this is the Identity function,

            a = b and 7 = b

              a = b = 7

• Therefore values are a = 7, b = 7