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If 2 consecutive vertices of a regular hexagon ABCDEF are $A (1, 0)$ and $B (2, 0)$
respectively, then the equation of the diagonal CE is:

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$x - \sqrt{3} y + 4 = 0$

$\sqrt{3} x + y = 4$

$x + \sqrt{3} y + 4 = 0$

$x + \sqrt{3} y = 4$

answer is B.

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Detailed Solution

$C = (2 + \cos 60^{0}, 0 + \sin 60^{0}) = [\frac{5}{2}, \frac{\sqrt{3}}{2}] E = (1, \sqrt{3})$

$∴$ Equation of CE is $x + \sqrt{3} y = 4$

Hence, the correct answer is (B)

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