NDA Math Three Dimensional Geometry

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For the next two (02) items that follow:
Consider a sphere passing through the origin and the points (2, 1, -1),(1, 5, -4), (-2, 4, -6).
[NDA II 2014]
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Question : 76 of 92
 
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Consider the following statements :
1. The sphere passes through the point (0, 4, 0).
2. The point (1, 1, 1) is at a distance of 5 unit from the center of the sphere.
Which of the above statements is/are correct?
[NDA II 2014]
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