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The coordinates of two consecutive verti...

The coordinates of two consecutive vertices `A` and ` B` of a regular hexagon `A B C D E F` are `(1,0)` and `(2,0),` respectively. The equation of the diagonal `C E` is

A

`sqrt(3) x+y=4`

B

`x+sqrt(3)y +4 =0`

C

`x+sqrt(3)y =4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

AB=1
`"or " C-=(2+1 xx "cos" 60^(@), 1 xx "sin" 60^(@)) -= ((5)/(2), (sqrt(3))/(2))`
`E-=(1,1 xx "sin" 60^(@)+1 xx "sin" 60^(@)) -=(1, sqrt(3))`
Therefore, the equation of CE is
`y-sqrt(3) = -(1)/(sqrt(3))(x-1)`
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