The shortest distance from the origin to a variable point on the sphere `(x-2)^(2)+(y-3)^(2)+(z-6)^(2)=1` is-A. 5B. 6C. 7D. 8

The shortest distance from the origin to a variable point on the spher

1.	The shortest distance from the origin to a variable point on the sphere `(x-2)^(2)+(y-3)^(2)+(z-6)^(2)=1` is-A. 5B. 6C. 7D. 8
Answer» Correct Answer - B Sphere `x^(2)+y^(2)+z^(2)-4x-6x-12z+48=0` Centre (2,3,6) radius `=sqrt(4+9+36-48)=1` distance between centre and origin `=sqrt(4+9+36)=7` shortest distance =7-1-6 (Origin lies outside the sphere)

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The shortest distance from the origin to a variable point on the sphere `(x-2)^(2)+(y-3)^(2)+(z-6)^(2)=1` is-A. 5B. 6C. 7D. 8

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