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The equation of a straight line on which...

The equation of a straight line on which the length of perpendicular from the origin is four units and the line makes an angle of `120^0` with the x-axis is

A

`x sqrt(3) +y+8=0`

B

`x sqrt(3) -y =8`

C

`x sqrt(3) -y =8`

D

`x -sqrt(3)+8=0`

Text Solution

Verified by Experts

The correct Answer is:
A

Given that the slope is `-sqrt(3)`.
Therefore, the line is
`y=-sqrt(3) x +c`
`"or "sqrt(3) x +y =c`
`"Now, "|(c)/(2)| = 4 or c =+-8`
`"or "xsqrt(3) + y =+-8`
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