Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter

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11-03-2018
Mathematics

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Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter

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I need help I don’t understand this

caylus caylus · Answer 1 · 2018-03-11T13:23:10+01:00

caylus caylus

11-03-2018

The middle of PQ is (9/2,1/2,2)
The sphere has for equation (x-9/2)²+(y-1/2)+(z-2)²=R²
and P is a point of the sphere so R=(-1/2)²+(3/2)²+(-1)²=R²=7/2

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