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
Select the correct option:
A
$\mathrm{a}=\mathrm{b}$ and $\mathrm{c} \neq \mathrm{b}$
B
$\mathrm{a}=\mathrm{c}$ and $\mathrm{a} \neq \mathrm{b}$
C
$\mathrm{a} \neq \mathrm{b}$ and $\mathrm{c} \neq \mathrm{b}$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
