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NDA Math Three Dimensional Geometry

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Consider the following for the next three (03) items that follow :

The plane 6x+ky+3z−12=0 where k≠0 meets the coordinate axes at A,B and C respectively. The equation of the sphere passing through the origin and A,B,C is x2+y2+z2−2x−3y−4z=0
[NDA-I 2022]
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