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Q)

If $f : R \to R$ is continuous such that $f(x+y) = f(x) + f(y), \; \; \forall \; \; x, y \in R$ and $f(1) = 2$, then $f(100)$ is equal to :


( A ) 100
( B ) 0
( C ) 50
( D ) 200

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