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Q 2359156014.     If the equation to sphere passing through origin
and the points `(-1, 0, 0), (0,- 2, 0)` and `(0, 0,-3)` is
`x^2 + y^2 + z^2 + f(x, y, z) = 0`, then what is
`f(x,y,z)` equal to?
NDA 2011 Paper 1
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)