AM-355
Line meeting a curve
A Math · Secondary 3 · Hard · Line meeting a curve
The circle C has equation . A line has equation . When the line equation is substituted into the circle equation, the resulting quadratic in has discriminant 0. What does this tell you about the line and the circle?
- The line does not meet the circle.
- The line cuts the circle at two points.
- The line is a tangent to the circle.
- The line lies completely inside the circle.
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