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Consider the following statements $\text{S1}$ and $\text{S2}$

$\text{S1} : $ At the resonant frequency the impedance of a series $\mathrm{R}-\mathrm{L}-\mathrm{C}$ circuit is zero.
$\text{S2} : $ In a parallel $\mathrm{G}-\mathrm{L}-\mathrm{C}$ circuit, increasing the conductance $\mathrm{G}$ results in increase in its $\mathrm{Q}$ factor.

Which one of the following is correct?

  1. $\text{S1}$ is FALSE and $\text{S2}$ is TRUE
  2. Both $\text{S1}$ and $\text{S2}$ are TRUE
  3. $\text{S1}$ is TRUE and $\text{S2}$ is FALSE
  4. Both $\text{S1}$ and $\text{S2}$ are FALSE

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