What are the coordinates of A?
Direction: Consider the following for the two (02) items that follow :<br>A triangle ABC is inscribed in the circle x^{2}+y^{2}=100. B and C have coordinates (6, 8) and (-8, 6) respectively.
- A. (-6, 8)
- B. (-6,-8)
- C. (5\sqrt{2}, 5\sqrt{2})
- D. <strong>CANNOT</strong> be determined due to insufficient data ✓
Correct Answer: D. <strong>CANNOT</strong> be determined due to insufficient data
Explanation
The points B and C are fixed on the circle. The point A can be any arbitrary point on the circle x^2+y^2=100 (other than B and C) to form the inscribed triangle ABC. Since no additional constraints are provided for vertex A, its exact coordinates cannot be uniquely determined.
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