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Functions question

2010 · Shift 1 · Q52

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PYQ Library
JEE Advanced
Mathematics
Functions
2010 · Shift 1 · Q52

Functions question

2010 · Shift 1 · Q52

JEE AdvancedMathematicsFunctionsMCQ+3 / −1

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)=x e^{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 $c eq b$
B
$a=c$ and $a eq b$
C
$a eq b$ and $c eq b$
D
$a=b=c$

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