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If (2, 3, 5) is one end of a diameter of the sphere x² + y² + z² − 6x − 12y − 2z + 20 = 0, then the coordinates of the other end of the diameter are
- (4, 9, −3)
- (4, −3, 3)
- (4, 3, 5)
- (4, 3, −3)
Correct answer: (4, 9, −3)
Solution
The sphere center is (3,6,1). The other end = 2(3,6,1) - (2,3,5) = (4,9,-3), not (4,-3,3).
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