Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) ... VIDEO
Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) of the points \( (\alpha,-3) \), \( (2,0) \) and \( (1, \alpha) \) to be collinear. Then the equation of the line, passing through \( \left(\alpha_{1}, \alpha_{2}\right) \) and making an angle of \( \frac{\pi}{3} \) with the positive direction of the \( x \)-axis, is :
(a) \( x-\sqrt{3} y-3 \sqrt{3}+1=0 \)
(b) \( \sqrt{3} x-y+\sqrt{3}+3=0 \)
(c) \( x-\sqrt{3} y+3 \sqrt{3}+1=0 \)
(d) \( \sqrt{3} x-y+\sqrt{3}-3=0 \)
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