Advanced MathHardChord length from a circle and a vertical line
Advanced Math 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 these two points?
Answer: 8
At x = 3: 9 + y² = 25, so y = ±4. The points (3, 4) and (3, −4) are 8 apart.
Common wrong answers
- If you answered 4
- 4 is one y-value, half the distance.
- If you answered 5
- 5 is the radius, not the chord.
- If you answered 16
- 16 is y², not a distance.
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