Advanced MathEasy–MediumConstant for a circle through a given point
Advanced Math practice question
In the xy-plane, the circle x² + y² = c passes through the point (3, −4), where c is a constant. What is the value of c?
Answer: 25
Substitute the point: 9 + 16 = 25, so c = 25.
Common wrong answers
- If you answered 1
- 1 is 3 + (−4), adding the coordinates instead of their squares.
- If you answered 5
- 5 is the radius, not c.
- If you answered -7
- −7 comes from 3² + (−4)² computed as 9 − 16.
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