Geometry and TrigonometryMediumPoint on a circle from its x-coordinate
Geometry and Trigonometry practice question
In the xy-plane, the circle x² + y² = 50 passes through a point with x-coordinate 5 and positive y-coordinate. What is the y-coordinate of that point?
Answer: 5
25 + y² = 50 gives y² = 25, so y = 5.
Common wrong answers
- If you answered 25
- 25 is y².
- If you answered 45
- 45 subtracts 5 instead of 25.
- If you answered 7.07
- 7.07 is √50, the radius, not the y-coordinate.
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