Choice A is the correct answer. When solving a system of a linear and quadratic equation, you get a new quadratic equation.

• 2 Intersections$\leftrightarrow$ 2 Real Solutions $\leftrightarrow$Positive Discriminant.
• 1 Intersection (Tangent) $\leftrightarrow$ 1 Real Solution $\leftrightarrow$Zero Discriminant.
• 0 Intersections$\leftrightarrow$ No Real Solutions $\leftrightarrow$Negative Discriminant.

Choice B is incorrect because zero means 1 point (tangent). Choice C is incorrect because negative means 0 points. Choice D is incorrect.