Straight LineHard
Question
A straight line L through the point (3, - 2) is inclined at an angle 60o to the line √3x + y = 1. If L also intersects the x-axis, then the equation of L is
Options
A.y + √3x + 2 - 3 √3 = 0
B.y + √3x + 2 - 3 √3 = 0
C.√3y - x + 3 + 2√3 = 0
D.√3y + x - 3 + 2√3 = 0
Solution
⇒ m + √3 =
(√3 - 3m )⇒ 4m = 0 ⇒ m = 0
or 2m = 2√3 ⇒ m = √3
∴ Equation is 2m = 2Ω3 ⇒ m = √3
⇒ √3 x - y - (2 + 3√3) = 0
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