Concept explainers
Tofind:The equation of sphere whose end points of diameter are given. Also, to sketch the sphere and the xz- plane.
Answer to Problem 4CT
The equation of sphere is
Explanation of Solution
Given information:
The end points of the diameter of the sphere are
Formulaused:
The midpoint of diameter is the center of the sphere. The coordinates of mid-point of line segment joining points
Calculations:
The end points of diameter of the sphere are
The radius Rof the sphereis
The radius of the sphere
Let
Thus, the equation of sphere is
The diagram of sphere is shown in Figure (b) here.
Conclusion:
The equation of sphere is
Chapter 10 Solutions
Precalculus with Limits: A Graphing Approach
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