A) \[\frac{2}{5}\]
B) \[\frac{2}{\sqrt{5}}\]
C) \[\frac{\sqrt{2}}{5}\]
D) \[\sqrt{\frac{2}{5}}\]
Correct Answer: D
Solution :
\[\left( \frac{-1}{a-1} \right)\left( \frac{-2}{{{a}^{2}}} \right)=-1\] \[2=-({{a}^{2}})(a-1)\] \[{{a}^{3}}-{{a}^{2}}+2=0\] \[(a+1)({{a}^{2}}-2a+2)=0\] \[\therefore \]\[a=-1\] \[\left. \begin{align} & {{L}_{1}}:x-2y+1=0 \\ & {{L}_{2}}:2x+y-1=0 \\ \end{align} \right\}\] \[0(0,0)\,\,\,\,\,\,\,\,\,\,P\left( \frac{1}{5},\frac{3}{5} \right)\] \[OP=\sqrt{\frac{1}{25}+\frac{9}{25}}=\sqrt{\frac{10}{25}}=\sqrt{\frac{2}{5}}\]
You need to login to perform this action.
You will be redirected in
3 sec
