A) \[\frac{9}{2}\]
B) \[\frac{5}{2}\]
C) \[\frac{7}{2}\]
D) \[\frac{3}{2}\]
Correct Answer: C
Solution :
Given planes are \[2x+y+2z-8=0\] or \[4x+2y+4z-16=0\] .....(i) and \[4x+2y+4z+5=0\] .....(ii) Distance between two parallel planes \[=\left| \,\frac{-16-5}{\sqrt{{{4}^{2}}+{{2}^{2}}+{{4}^{2}}}}\, \right|\,\]\[=\,\frac{21}{6}=\frac{7}{2}\].
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