A) \[\frac{15}{8}\]
B) \[\frac{8}{15}\]
C) \[\frac{5}{8}\]
D) \[\frac{8}{5}\]
Correct Answer: B
Solution :
[b] Let the required line be \[(y-0)=m\,(x-6),\,\,m>0\] or \[mx-y-6m=0\] ...(1) As distance of above line from \[N(1,3)\] is 5, we have \[\left| \frac{m-3-6m}{\sqrt{1+{{m}^{2}}}} \right|=5\Rightarrow {{(3+5m)}^{2}}=25(1+{{m}^{2}})\] \[\Rightarrow \,\,\,9+30m=25\Rightarrow m=16/30=8/15\]You need to login to perform this action.
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