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For a parallel $\text{RLC}$ circuit, which one of the following statements is $\text{NOT}$ correct?

1. The bandwidth of the circuit decreases if $\mathrm{R}$ is increased
2. The bandwidth of the circuit remains same if $\mathrm{L}$ is increased
3. At resonance, input impedance is a real quantity
4. At resonance, the magnitude of input impedance attains its minimum value