Q. 65.0( 2 Votes )

If f: A B is an injection such that range of f = {a}. Determine the number of elements in A.

Answer :

TIP: One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.


So, is One – One function


a≠b


f(a)≠f(b) for all


f(a) = f(b)


a = b for all


Here, Range {f} = {a}


Since it is injective map, different elements have different images.


Thus A has only one element


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