Straight LineHard
Question
A straight line L through the point (3, − 2) is inclined at an angle of 60o to the line 3 x + y = 1. If L also intersects the x-axis, then the equation of L is :
Options
A.y + √3x + 2 − 3√3 = 0
B.√3y + x − 3 + 2√3 = 0
C.y − √3x + 2 + 3√3 = 0
D.√3y − x + 3 + 2√3 = 0
Solution
tan60o = 
⇒ m = 0, m = √3
line y + 2 = √3 (x − 3)
y − √3 x + 2 + 3 √3 = 0
⇒ m = 0, m = √3
line y + 2 = √3 (x − 3)
y − √3 x + 2 + 3 √3 = 0
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