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Let f,g and h be real-valued functions d...

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

A

`a=b " and " c ne b`

B

` a=c " and " a ne b`

C

` a ne b " and " c ne b`

D

`a=b=c`

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The correct Answer is:
D
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