$$ \begin{align*} \textbf{Find the value of } \\&\ \left( 1 a-b\right)^2 + \left(b- 4 \right)^2 + \left( - 12 c - 1 \right)^2 = 0 \\&\ \left( 1 a-b\right)^2 + \left(b- 12 \right)^2 + \left( - 12 c - 7 \right)^2 = 0 \\&\ \left( 1 a-b\right)^2 + \left(b- 16 \right)^2 + \left( - 7 c - 7 \right)^2 = 0 \\&\ \text { where a, b and c are real numbers. } \\&\ \end{align*} $$