The coordinates of two consecutive vertices A and B a regular hexagon ABCDEF are 1,0 and 2,0, respectively. The equation of the diagonal CE is

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3x+y=4

x+3y+4=0

x+3y=4

None of these

answer is C.

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Detailed Solution

AB=1or C≡2+1×cos600,1+sin600≡52,32E≡1,1+sin600+1×sin600≡1,3Therefore, the equation of CE is y−3=−13x−1

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