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UPSC NDA II 2011 Mathematics Paper

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Question : 97

Total: 120

The equation to sphere passing through origin and the points (−1,0,0),(0,−2,0) and (0,0,−3) is x2+y2+z2 +f(x,y,z)=0. What is f(x,y,z) equal to?

−x−2y−3z
x+2y+3z
x+2y+3z−1
x+2y+3z+1

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