A $25\mathrm{.}0$mH$25\mathrm{.}0\backslash ,\backslash$text$\{$mH$\}25\mathrm{.}0$mH inductor, a $2\mathrm{.}00$F$2\mathrm{.}00\backslash ,\backslash$mu$\backslash$text$\{$F$\}2\mathrm{.}00$F capacitor, and a certain resistor are connected in series across an AC voltage source at $1000$Hz$1000\backslash ,\backslash$text$\{$Hz$\}1000$Hz$.$ If the impedance of this circuit is $200200\backslash ,\backslash$Omega$200,$ what is the resistance of the resistor?

A$)100100\backslash ,\backslash$Omega$100$

B$)184184\backslash ,\backslash$Omega$184$

C$)200200\backslash ,\backslash$Omega$200$

D$)552552\backslash ,\backslash$Omega$552$

E$)579579\backslash ,\backslash$Omega$579$