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If (2, 3, 5) is one end of a diameter of...

If (2, 3, 5) is one end of a diameter of the sphere `x^2+""y^2+""z^2-6x-12 y-2z""+""20""=""0`, then the coordinates of the other end are

A

`(4,""9,-3)`

B

`(4,""3,""5)`

C

`(4,""3,-3)`

D

`(4,-3,""9)`

Text Solution

AI Generated Solution

To find the coordinates of the other end of the diameter of the sphere given one end as (2, 3, 5), we first need to determine the center of the sphere from its equation. ### Step 1: Identify the center of the sphere The equation of the sphere is given as: \[ x^2 + y^2 + z^2 - 6x - 12y - 2z + 20 = 0 \] ...
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