Geometry and TrigonometryVery hardChord cut by a vertical line on a circle
Geometry and Trigonometry practice question
In the xy-plane, the circle x² + y² = 25 and the line x = 3 intersect at two points. What is the distance between those two points?
Answer: 8
At x = 3, y² = 16, so the points are (3, 4) and (3, −4), which are 8 apart.
Common wrong answers
- If you answered 4
- 4 is the distance from the x-axis to one point.
- If you answered 6
- 6 is 2 × 3, using the x-coordinate.
- If you answered 10
- 10 is the diameter.
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