A) \[7/\sqrt{5}\]
B) \[7/2\sqrt{5}\]
C) \[\sqrt{7}/5\]
D) None of these
Correct Answer: B
Solution :
[b] The distance between the parallel straight lines given by \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] is \[2\sqrt{\frac{{{g}^{2}}-ac}{a(a+b)}}\] Here, \[a=8,\,\,b=2,\,\,c=15,\,\,g=13\] So, req. distance \[=2\sqrt{\frac{169-120}{80}}=2\times \frac{7}{4\sqrt{5}}=\frac{7}{2\sqrt{5}}\]
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