The correct option is
A has a very high impedance
In LC parallel resonant circuit, the impedance is given by
Z=(XC)(XL)XC−XL
In LC parallel resonant circuit, at the resonant frequency we have,
XC=XL
∴Z=∞
Also, For pure resistor, Z = R
Hence,
In LC parallel resonant circuit, the impedance is near to infinity or very high.
Option A is correct.
Since, the impedance(resistance) is maximum, the current is negligible or zero it circulates back and forth between components without involving the source.. Hence, option B, C and D are incorrect.