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Question

If π20cos(x)dx=a then π0cos(x)dx is equal to -

A
2a
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B
a2
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C
0
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D
a
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Solution

The correct option is C 0
2a0f(x)dx=2a0f(x)dx,iff(2ax)=f(x) and 0 if f(2ax)=f(x)
Let 2a=π
We know that cos(πx)=cos(x)
So,π0cos(x)dx=0

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