In the circuit shown, which of the following statement(s) is/are CORRECT?

$$\begin{gathered} I_C=\frac{V_{L,C}}{X_C}=\frac{V_{L,C}}{50} \\ {I}_L=\frac{V_{L,C}}{X_L}=\frac{V_{L,C}}{100} \end{gathered}$$

$$\begin{gathered} \therefore I_{L,C}=I_C-I_L=V_{L,C}[\frac{1}{50}-\frac{1}{100}]=\frac{V_{L,C}}{100} \\ {V}_{L,C}=100I_{L,C}=100I \end{gathered}$$

$\therefore$  Z = R only  $\Rightarrow$ circuit is in resonance
Here reactance of circuit = 0 
Power factor  $\cos \varphi =\cos 0=1$
Average power  $P_{ave}=\frac{E_{rms}^2}{Z}=\frac{{\left(100\right)}^2}{100}=100W$