A) \[\sqrt{2}\]
B) \[{{\left( \frac{3}{2} \right)}^{\frac{1}{2}}}\]
C) \[{{\left( \frac{1}{2} \right)}^{\frac{1}{2}}}\]
D) \[\left( \frac{1}{\sqrt{2}} \right)\]
E) \[{{\left( \frac{2}{3} \right)}^{\frac{1}{2}}}\]
Correct Answer: E
Solution :
Length of perpendicular from\[A(2,-1)\]to the line\[x+y-2=0\]is \[\left| \frac{2-1.2}{\sqrt{1+1}} \right|=\frac{1}{\sqrt{2}}\] In\[\Delta ABC,\] \[\frac{AD}{AB}=sin\text{ }60{}^\circ \] \[\Rightarrow \] \[\frac{1}{\sqrt{2}AB}=\frac{\sqrt{3}}{2}\] \[\Rightarrow \] \[AB=\sqrt{\frac{2}{3}}\]You need to login to perform this action.
You will be redirected in
3 sec