Question:
If \( (2, 7, 3) \) is one end of a diameter of the sphere \( x^2 + y^2 + z^2 - 6x - 12y - 2z + 20 = 0 \), then the coordinates of the other end of the diameter are
If \( (2, 7, 3) \) is one end of a diameter of the sphere \( x^2 + y^2 + z^2 - 6x - 12y - 2z + 20 = 0 \), then the coordinates of the other end of the diameter are
Show Hint
To find the other end of the diameter, subtract the center's coordinates from the given point and double the result.
Updated On: Jan 12, 2026
- \( (2, -5, 1) \)
- \( (4, 5, 1) \)
- \( (2, 5, -1) \)
- \( (4, 5, -1) \)
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The Correct Option is A
Solution and Explanation
The center of the sphere is \( (3, 6, 1) \). The coordinates of the other end of the diameter are calculated as the midpoint of the center and the given point.
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