Mathematics

Mathematics

Problem

A straight line LL through the point (3,−2)(3, -2) is inclined at an angle 60∘60^\circ to the line 3x+y=1\sqrt{3}x + y = 1. If LL also intersects the XX-axis, then the equation of LL is (2011) (a) y+3x+2−33=0y + \sqrt{3}x + 2 - 3\sqrt{3} = 0 (b) y−3x+2+33=0y - \sqrt{3}x + 2 + 3\sqrt{3} = 0 (c) 3y−x+3+23=0\sqrt{3}y - x + 3 + 2\sqrt{3} = 0 (d) 3y+x−3+23=0\sqrt{3}y + x - 3 + 2\sqrt{3} = 0

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