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Let S be the set of all triangles and R^...

Let `S` be the set of all triangles and `R^+` be the set of positive real numbers. Then the function `f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S ,` is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

A

injective but not surjective

B

surjective but not injective

C

injective as well as surjective

D

neither injective nor surjective

Text Solution

Verified by Experts

The correct Answer is:
B
Two triangles may have equal areas
Therefore, `f` is not one-one.
Since each positive real number can represent area of a triangle, `f` is onto.
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