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Equation of a Sphere : General Form

The shortest ...

Question

The shortest distance from the origin to a variable point on the sphere $(x - 2)^{2} + (y - 3)^{2} + (z - 6)^{2} = 1$ is

A

5

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B

6

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C

7

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D

8

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Solution

The correct option is A $6$
$R e q u i r e d = | O C - A C |$
$= \sqrt{4 + 9 + 36} - 1$
$= 6$

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Equation of a Sphere : General Form

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