A straight line passes through the point $P(2,√3)$ and makes an angle of $60°$ with X- axis. If this line intersects another line having equation $x+y√3 =12$ at $Q$, find the length of $PQ$.
Here, the slope of the line passing through $P$ and making an angle of $60°$ with X- axis is: $$m=Tan60°$$ $$m=√3$$ Then,
Its equation is $$y-y_1=m(x-x_1)$$ $$y-√3 = √3 (x-2)$$ $$y-√3 = √3 x-2√3$$ $$√3 x - y - √3 =0$$
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