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Question

If A=10x50(2x)50dx,B=10x50(1x)50dx, which of the following is true?

A
A=250B
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B
A=250B
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C
A=2100B
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D
A=2100B
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Solution

The correct option is C A=2100B
GivenA=10x50(2x)50dx;B=10x50(1x)50dx
InA,putx=2tdx=2dt
A=21/20250t50250(1t)50dt........(i)
Now, B=21/20x50(1x)50dx.......(ii)
[using2a0f(x)dx=2a0f(x)dx if f(2ax)=f(x)]
From equations (1) and (2), we get
A=2100B

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