The minimum value of \( \left[\left(x_{1}-x_{2}\right)^{2}+\left(12-\sqrt{1-x_{1}^{2}}-\sqrt{4 x....

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The minimum value of
\( \left[\left(x_{1}-x_{2}\right)^{2}+\left(12-\sqrt{1-x_{1}^{2}}-\sqrt{4 x_{2}}\right)^{2}\right]^{1 / 2} \) for all
\( \mathrm{P} \)
permissible values of \( x_{1} \) and \( x_{2} \) is equal to \( a \sqrt{b}-c \)
where \( a, b, c \in N \), then find the value of \( a+b-c \).
.


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