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Q.

Let S be the set of all triangles and R+ be the set of positive real numbers. Then the function f:S→R+,fΔ=area of Δ where Δ∈S, is

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a

injective but not surjective

b

surjective but not injective

c

injective as well as surjective

d

neither injective nor surjective

answer is B.

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Detailed Solution

Two triangles may have equal areasTherefore, f is not one-one.Since each positive real number can represent area of a triangle,f is onto.
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