UPSC NDA I 2016 Mathematics Solved Paper

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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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If the plane P touches the sphere x2+y2+z2=r2,then what is r equal to ?
[NDA I 2016]
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