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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 and statement (2) is true and statement (2) is correct explanation for statement (1)

B

Statement (1) is true and statement (2) is true and statement (2) is NOT a correct explanation for Statement (1)

C

Statement (1) is true but (2) is false

D

Statement (1) is false but (2) is true

Text Solution

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The correct Answer is:
A
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