UPSC NDA Math Model Paper 6

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Comprehension:(Que No. 76 - 78)
Consider a sphere passing through the origin and the points (2, 1, -1), (1, 5, -4), (-2, 4, -6)
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Question : 78 of 120
 
Marks: +1, -0
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 centre of the sphere.
Which of the above statements is/are correct?
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