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<br>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.