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The bus admittance $\left(Y_{\text {bus }}\right)$ matrix of a $3$-bus power system is given below.

Considering that there is no shunt inductor connected to any of the buses, which of the following can $\text{NOT}$ be true?

  1. Line charging capacitor of finite value is present in all three lines
  2. Line charging capacitor of finite value is present in line $2-3$ only
  3. Line charging capacitor of finite value is present in line $2-3$ only and shunt capacitor of finite value is present in bus $1$ only
  4. Line charging capacitor of finite value is present in line$ 2-3$ only and shunt capacitor of finite value is present in bus $3$ only
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