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The option(s) with the values of aa n dL...

The option(s) with the values of `aa n dL` that satisfy the following equation is (are) `(int0 4pie^t(s in^6a t+cos^4a t)dt)/(int0pie^t(s in^6a t+cos^4a t)dt)=L` `a=2,L=(e^(4pi)-1)/(e^(pi)-1)` (b) `a=2,L=(e^(4pi)+1)/(e^(pi)+1)` `a=4,L=(e^(4pi)-1)/(e^(pi)-1)` (d) `a=4,L=(e^(4pi)+1)/(e^(pi)+1)`

A

`a = 2, L = (e^(4pi) - 1)/( e^(pi) - 1)`

B

`a = 2, L = (e^(4pi) +1)/(e^(pi) + 1)`

C

`a = 4, L = (e^(4pi) - 1)/(e^(pi) - 1)`

D

`a = 4, L = (e^(4pi) + 1 )/(e^(pi)- 1)=0`

Text Solution

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The correct Answer is:
AC
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