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NDA Math Three Dimensional Geometry

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For the next three (3) items that follow :
A plane P passes through the line of intersection of the planes 2x−y+3z=2,x+y−z=1 and the point (1,0,1).

[NDA I 2016]

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Question : 58

Total: 92

If the plane P touches the sphere x2+y2+z2=r2,then what is r equal to ?

2
√29
4
√29
5
√29
1

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