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Let f,\ g\ a n d\ h be real-valued fu...

Let `f,\ g\ a n d\ h` be real-valued functions defined on the interval `[0,\ 1]` by `f(x)=e^x^2+e^-x^2,\ g(x)=x e^x^2+e^-x^2\ a n d\ h(x)=x^2e^x^2+e^-x^2` . If `a , b ,\ a n d\ c` denote respectively, the absolute maximum of `f,\ g\ a n d\ h` on `[0,\ 1],` then `a=b\ a n d\ c!=b` (b) `a=c\ a n d\ a!=b` `a!=b\ a n d\ c!=b` (d) `a=b=c`

A

`a = b and c ne b`

B

`a = c and a ne b`

C

`a ne b and c ne d `

D

`a = b = c`

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The correct Answer is:
D
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