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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2001
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Two functions $f : R \to R, \; g: R \to R$ are defined as follows <br> $ f(x) = \begin{cases} 0 , & \quad \text{x } \text{ is rational}\\ 1, & \quad \text{x} \text{ is irrational} \end{cases}$ <br> $ g(x) = \begin{cases} -1 , & \quad \text{x } \text{ is rational}\\ 0, & \quad \text{x} \text{ is irrational} \end{cases}$ <br> Then $(fog) (\pi) + (gof)(e)$ is equal to :
( A ) $-1$
( B ) $0$
( C ) $2$
( D ) $1$
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