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ScanSolve AI Answer
Step-by-step solution
7 stepsIdentify the given information
- The equation is x² + y² = 25.
- The point is (3, 4).
Understand the goal
Determine if the point (3, 4) lies on the circle defined by the equation x² + y² = 25.
Substitute the coordinates of the point into the equation
- Replace 'x' with 3 and 'y' with 4.
- (3)² + (4)² = 25
Calculate the squares
- 9 + 16 = 25
Perform the addition
- 25 = 25
Compare both sides of the equation
- Since the left side (25) equals the right side (25), the equation is true.
Conclusion
The point (3, 4) satisfies the equation of the circle.
Therefore, the point (3, 4) lies on the circle x² + y² = 25. ✅ Correct.
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