A) \[\sqrt{\frac{13}{21}}\]
B) \[\frac{23}{21}\]
C) \[\frac{13}{\sqrt{21}}\]
D) \[\frac{\sqrt{13}}{21}\]
E) None of these
Correct Answer: C
Solution :
The distance of the point\[(2,1,-1)\]from the plane\[x-2y+4z=9\] \[\left| \frac{(1\times 2)+(-2)(1)+4(-1)-9}{\sqrt{{{1}^{2}}+{{(-2)}^{2}}+{{4}^{2}}}} \right|\] \[=\left| \frac{2-2-4-9}{\sqrt{1+4+16}} \right|\] \[=\frac{13}{\sqrt{21}}\]
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