A variable circle \( C \) has the equation \( \mathrm{x}^{2}+\mathr...

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A variable circle \( C \) has the equation \( \mathrm{x}^{2}+\mathrm{y}^{2}-2\left(\mathrm{t}^{2}-3 \mathrm{t}+1\right) \mathrm{x}-2\left(\mathrm{t}^{2}+2 \mathrm{t}\right) \mathrm{y}+\mathrm{t}=0 \), where \( \mathrm{t} \) is a parameter.
\( \mathrm{P} \) If the power of point \( \mathrm{P}(\mathrm{a}, \mathrm{b}) \) w.r.t. the circle \( \mathrm{C} \) is constant then the ordered pair \( (\mathrm{a}, \mathrm{b}) \) is

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(A) \( \left(\frac{1}{10},-\frac{1}{10}\right) \)
(B) \( \left(-\frac{1}{10}, \frac{1}{10}\right) \)
(C) \( \left(\frac{1}{10}, \frac{1}{10}\right) \)
(D) \( \left(-\frac{1}{10},-\frac{1}{10}\right) \)
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