A) \[\frac{3}{4}\]
B) \[\frac{4}{3}\]
C) \[\frac{7}{5}\]
D) 1
Correct Answer: C
Solution :
According to \[\frac{A}{l}=\frac{B}{m}=\frac{C}{n},\] direction ratio of plane are respectively (3, 0, 4). Equation of plane passing through point (1, 1, 1) is \[\Rightarrow \,\,A(x-{{x}_{1}})+B\,(y-{{y}_{1}})+C\,(z-{{z}_{1}})=0\] \[\Rightarrow \,\,3\,(x-1)+0\,(y-1)+4\,(z-1)=0\]\[\Rightarrow \,\,3x+4z-7=0\] Normal form of plane is, \[\frac{3x}{5}+\frac{4z}{5}=\frac{7}{5}\] \[\therefore \] Perpendicular distance from \[(0,\,\,0,\,\,0)=\frac{7}{5}\].
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