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Question
Select the correct option from the given alternatives:
The equation of a line, having inclination 120° with positive direction of X−axis, which is at a distance of 3 units from the origin is
Options
`sqrt(3x) ± y + 6` = 0
`sqrt(3x) + y ± 6` = 0
x + y = 6
x + y = – 6
Solution
`sqrt(3x) + y ± 6` = 0
Explanation:
Here, α = 30° and p = 3 units
Equation of line with inclination α and distance from origin as p is
xcos α + ysin α = p
∴ xcos30° + ysin30° = ±3
∴ `sqrt(3x)/2 + y/2` = ± 3
∴ `sqrt(3)x + y ± 6` = 0
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