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Question

The plane x + 2y - z = 4 cuts the sphere x2+y2+z2x+z2=0 in a circle of radius           
[AIEEE 2005]


  1. 2

  2. 1


  3. 3


Solution

The correct option is B

1


Perpendicular distance to centre (12,0,12) from x + 2y - z = 4 is,

P=12+1246=32 and radius of sphere R=52,
So, r=R2P2=5232=1.

 

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