Mathematics · 3D Geometry
The equation of a sphere with the line segment joining the points (1, 5, 6) and (-2, 1, 1) as a diameter is:
- 1x2 + y2 + z2 + 6x - y - 4z + 5 = 0
- 2x2 + y2 + z2 + x - 6y - 7z + 9 = 0✓
- 3x2 + y2 + z2 - x + 6y + 7z - 9 = 0
- 4x2 + y2 + z2 + 2x - 4y - 7z - 9 = 0
Correct answer
x2 + y2 + z2 + x - 6y - 7z + 9 = 0
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