🛠️ JEE➗ Maths

Let \( f: N \rightarrow N \) be a function such that \( \mathrm{f}(\mathrm{m}+\mathrm{n})=\mathrm{f}(\mathrm{m})+\mathrm…

Q1

Let \( f: N \rightarrow N \) be a function such that \( \mathrm{f}(\mathrm{m}+\mathrm{n})=\mathrm{f}(\mathrm{m})+\mathrm{f}(\mathrm{n}) \) for every \( m, n \in N \). If \( \mathrm{f}(6)=18 \), then \( f(2) \cdot f(3) \) is equal to:

[JEE Main 2021, 31 Aug (Shift 2)]

a

\(6\)

b

\(54\)

c

\(18\)

d

\(36\)

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