A) 26
B) \[11\frac{4}{13}\]
C) 13
D) 39
E) None of these
Correct Answer: C
Solution :
The centre of the given sphere is\[C\text{ }(-\text{ }2,1,\text{ }3)\]. The distance from the centre of sphere to the plane \[=\left| \frac{-2\times 12+4\times 1+3\times 3-327}{\sqrt{144+16+9}} \right|\] \[=\left| \frac{-24+4+9-327}{\sqrt{169}} \right|=\frac{338}{13}=26\] \[\therefore \]Shortest distance \[=26-\sqrt{4+1+9+155}\] \[=26-13=13\]You need to login to perform this action.
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