Question:
Choose the most appropriate option.
On the sphere \( (x - 1)^2 + (y + 2)^2 + (z - 3)^2 = 25 \), find the point \( M_0 \) to the plane \( 3x - 4z + 19 \).
Choose the most appropriate option.
On the sphere \( (x - 1)^2 + (y + 2)^2 + (z - 3)^2 = 25 \), find the point \( M_0 \) to the plane \( 3x - 4z + 19 \).
Show Hint
The shortest distance from a point to a plane is along the perpendicular line from the point to the plane.
Updated On: Apr 1, 2025
- \( (7, -2, -2) \)
- \( (2, -2, 7) \)
- \( (-2, -2, 7) \)
- \( (-2, 7, -2) \)
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The Correct Option is C
Solution and Explanation
We are asked to find the point on the sphere closest to the plane.
This can be done using the distance formula between a point and a plane.
By solving the equation, we find that the correct point is \( (-2, -2, 7) \).
This can be done using the distance formula between a point and a plane.
By solving the equation, we find that the correct point is \( (-2, -2, 7) \).
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