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

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injective but not surjective

surjective but not injective

injective as well as surjective

neither injective nor surjective

answer is B.

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Detailed Solution

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

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