Question

The Coordinates of two consecutive vertices A and B of a regular hexagon ABCDEF are (1, 0) and (2, 0) respectively The equation of CE

• A. $\sqrt{3}x+y=4$
  
• B. $x+\sqrt{3}y=4$
  
• C. $x+y=\sqrt{3}$
  
• D. $x+y=2\sqrt{3}$

Answer 1

The correct option is A $\sqrt{3}x+y=4$


AB = 1
$C=(2+cos{60}^{\circ },sin{60}^{\circ })=(\frac{5}{2},\frac{\sqrt{3}}{2})E=(1,sin{60}^{\circ }+sin{60}^{\circ })=(1,\sqrt{3})$
$\therefore$ Equation of CE is $x+\sqrt{3}y=4$