A) \[\frac{3}{2}\]
B) \[\frac{7}{2}\]
C) \[\frac{5}{2}\]
D) \[\frac{7}{3}\]
Correct Answer: B
Solution :
[b] Equation of two parallel lines be \[2x+y+2z=8\]and \[4x+2y+4z+5=0\] \[\therefore \]Distance between two parallel line be \[=\frac{\left| {{d}_{1}}-{{d}_{2}} \right|}{\sqrt{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}}=\frac{\left| 8+\frac{5}{2} \right|}{\sqrt{{{2}^{2}}+{{2}^{2}}+{{1}^{2}}}}=\frac{21}{2\times 3}=\frac{7}{2}\] Hence, option [b] is correct.
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