What is the <strong>MAXIMUM</strong> number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)?
- A. 6
- B. 10
- C. 14 ✓
- D. 16
Correct Answer: C. 14
Explanation
The maximum number of intersections between 4 lines is \binom{4}{2} = 6. Furthermore, each of the 4 lines can intersect the circle in at most 2 distinct points, providing 4 \times 2 = 8 intersection points. Therefore, the total maximum number of intersection points is 6 + 8 = 14.
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