Difficult
If $y = m_{1}x + c_{1}$ and $y = m_{2}x + c_{2}$ with $m_{1} \neq m_{2}$ are two common tangents of the circle $x^{2} + y^{2} = 2$ and the parabola $y^{2} = x$,then the value of $8|m_{1}m_{2}|$ is equal to
- A$3 + 4\sqrt{2}$
- B$5 - 6\sqrt{2}$
- C$3\sqrt{2} - 4$
- D$7 + 6\sqrt{2}$
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