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e^(|sinx|)+e^(-|sinx|)+4a=0 will have ex...

`e^(|sinx|)+e^(-|sinx|)+4a=0` will have exactly four different solutions in `[0,2pi]` . Find the value of a. (a) `a in R` (b) `a in [-3/4,-1/4]` (c)`a in [(-1-e^2)/(4e),oo]` (d) none of these

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