NDA Math Definite Integrals

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Question : 30 of 62
 
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If f(x) and g(x) are continuous functions satisfying f(x)=f(a−x) and g(x)+g(a−x)=2,then what is
a
∫
0
f(x)g(x)dx
equal to ?
[NDA I 2017]
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