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 _ 0 ^ a f(x)g(x) ,dx equal to?

NDA 2017 Mathematics question

If and are continuous functions satisfying and , then what is equal to?

Answer: (B)

Let . Replacing by : $I =

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-028661