A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the perso
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A circle with center and radius
has equation
If we substitute in this equation, we have
This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:
The expression simplifies to
The solutions to the associated equation are
So, the parabola is negative between the two solutions: