question_answer

A straight line through the point (2, 2) intersects   the   lines   \[\sqrt{3}x+y=0\]   and \[\sqrt{3}x-y=0\] at the points A and B. The equation to the line AB so that the \[\Delta OAB\] is equilateral, is   AIEEE  Solved  Paper-2002

A) \[x-2=0\]                                

B) \[y-2=0\]

C)           \[x+y-4=0\]    

D)           None of these

Correct Answer: B

Solution :

\[\sqrt{3}x+y=0\] makes an angle of \[{{120}^{o}}\] with OX and \[\sqrt{3}x-y=0\] makes an angle of \[{{60}^{o}}\]with OX. So, the required line is \[y-2=0\].