A) \[\frac{4\sqrt{3}}{3}\]
B) \[2\sqrt{2}\]
C) \[4\sqrt{2}\]
D) \[8\]
E) \[4\]
Correct Answer: E
Solution :
Given pair of lines is \[{{x}^{2}}+2\sqrt{2}xy+2{{y}^{2}}+4x+4\sqrt{2y}-8=0\] Here, \[a=1,b=2,h=\sqrt{2},g=2,\] \[f=2\sqrt{2},c=-8\] Since, the lines are parallel \[\therefore \]Distance between them is \[d=2\sqrt{\frac{{{g}^{2}}-ac}{a(a+b)}}\] \[\Rightarrow \] \[d=2\sqrt{\frac{4+8}{1(3)}}=2\sqrt{\frac{12}{3}}=4\]You need to login to perform this action.
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