Mathematics · Calculus
The points on the sphere x 2 + y 2 + z 2 = 1 which are at the minimum and maximum distance from the point (3, 4, 12) are respectively:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A(12/13, -12/13, -4/13) at minimum distance and B(-3/13, -4/13, -12/13) at maximum distance
- 2A(4/13, 12/13, 4/13) at maximum distance and B(-3/13, -4/13, -12/13) at minimum distance
- 3A(3/13, 4/13, 12/13) at minimum distance and B(-3/13, -4/13, -12/13) at maximum distance✓
- 4A(4/13, 12/13, 4/13) at minimum distance and B(-3/13, -4/13, -12/13) at maximum distance
Correct answer
A(3/13, 4/13, 12/13) at minimum distance and B(-3/13, -4/13, -12/13) at maximum distance
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