A) \[\frac{15}{\sqrt{10}}\]
B) \[\frac{1}{2}\]
C) \[\sqrt{\frac{5}{2}}\]
D) \[\frac{1}{\sqrt{10}}\]
Correct Answer: C
Solution :
The distance between the pair of 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 \[a=1,\,\,b=9\]Þ \[c=-4,\,\,g=3/2\] = \[2\times \sqrt{\frac{9/4-(-4)}{1(1+9)}}=2\times \sqrt{\frac{25/4}{10}}\] = \[\sqrt{5/2}\].You need to login to perform this action.
You will be redirected in
3 sec