NDA 2017 Mathematics question

A variable plane passes through a fixed point and cuts the axes in A, B and C respectively. The locus of the centre of the sphere OABC, O being the origin, is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

Let the plane be , with . The sphere through , , , has centre

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Question ID VK-028750