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If 2^((2pi)/(Sin^(-1)x))-2(a+2)2^(pi/(Si...

If `2^((2pi)/(Sin^(-1)x))-2(a+2)2^(pi/(Sin^(-1)x))+8a lt 0` for at least one real x then

A

`1/8 le a lt 2`

B

`a lt 2`

C

`a in R-{2}`

D

`a in [0,1/8) cup (2, infty)`

Text Solution

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The correct Answer is:
D
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