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If \[\int_{0}^{2a}{f(x)\,dx=2\int_{0}^{a}{f(x)\,dx,}}\] then                           [SCRA 1986]

A.                 \[f(2a-x)=-f(x)\]              
B.                 \[f(2a-x)=f(x)\]
C.                 \[f(a-x)=-f(x)\] 
D.                 \[f(a-x)=f(x)\]
Answer» C.                 \[f(a-x)=-f(x)\] 


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