The coordinates of two consecutive vertices A & B of a regular hexagon ABCDEF are (1,0) & (2,0) respectively .

Question

The equation of the diagonal CE is -

(A) √3x+y=4

(B) x+√3y+4=0

(C) x+√3y=4

(D) NOTA

Answer 1

The correct option is (C).

Explanation:

C = (2 +1. cos 60°, 1. sin 60°) = (5/2, √3/2)

E = (1, 1. sin 60° + 1. sin 60°) = (1, √3)

The equation of CE is:

y - √3 = (√3 - √3/2)/ (1 - 5/2). (x - 1)

x + √3y = 4