question_answer

If (0, 0), (3, 0) and (x, :y) are the vertices of an equilateral triangle, then the value of x and\[\text{y}\] is

A)  \[\left( \frac{3}{2},\frac{3\sqrt{3}}{2} \right)or\left( \frac{3}{2},\frac{-3\sqrt{3}}{2} \right)\]  

B)  \[\left( \frac{1}{2},\sqrt{2} \right)or\left( \frac{1}{2},-\sqrt{2} \right)\]

C)  \[\left( \frac{1}{3},1 \right)or\left( \frac{1}{3},-1 \right)\]

D)  none of these