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Let f: R-> R be a continuous function...

Let `f: R-> R` be a continuous function defined by `f(x)""=1/(e^x+2e^(-x))` . Statement-1: `f(c)""=1/3,` for some `c in R` . Statement-2: `0""<""f(x)lt=1/(2sqrt(2)),` for all `x in R` . (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

A

Statement -1 is true , Statement -2 is true , Statement-2 is not a correct explanation for statement -1.

B

Statement-1 is true Statement -2 is false.

C

Statement-1 is false , Statement-2 is treu

D

Statement -1 is true Statement -2 is true, Statement -2 is a correct explanation for statement -1.

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The correct Answer is:
D
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