A) \[7/\sqrt{5}\]
B) \[7/2\sqrt{5}\]
C) \[\sqrt{7}/5\]
D) None of these
Correct Answer: B
Solution :
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, required distance\[=2\sqrt{\frac{169-120}{80}}=2\times \frac{7}{4}.\sqrt{5}=\frac{7}{2}\sqrt{5}\].
You need to login to perform this action.
You will be redirected in
3 sec
