question_answer

The plane\[x+2y-z=4\]cuts the sphere\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-x+z-2=0\]in a circle of radius     AIEEE  Solved  Paper-2005

A) \[\sqrt{2}\]        

B)        2             

C)        1             

D)        3

Correct Answer: C

Solution :

Since, the centre of sphere is and radius of sphere Distance of plane from centre of sphere So, radius of circle