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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) `(int_0 ^(4pi)e^t(sin^6a t+cos^4at)dt)/(int_0^pie^t(sin^6at+cos^4a t)dt)=L` (a)`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)`

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))`

Text Solution

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The correct Answer is:
A, C
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