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If S be the set of all triangles and f ...

If S be the set of all triangles and `f : S -> R^+, f(Delta) =` Area of `Delta`, then f is-

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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