Geometry and TrigonometryHardSum of a circle's centre coordinates
Geometry and Trigonometry practice question
In the xy-plane, a circle has the equation (x − 3)² + (y + 2)² = 25. What is the sum of the coordinates of the circle's centre?
Answer: 1
The centre is (3, −2), and 3 + (−2) = 1.
Common wrong answers
- If you answered 5
- 5 uses (3, 2), missing the sign of the y-coordinate.
- If you answered 6
- 6 adds the radius, 5, to 1.
- If you answered -1
- −1 uses (−3, 2), both signs wrong.
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