Find the equation of the line intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30∘ with positive direction of the x-axis.
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We know that if a line with slope m makes y-intercept c, then equation of line is given as y=mx+c. Here. we have given, c=2 and m=tan30∘=1√3 Thus the required equation of the given line is y=1√3x+2 ⇒y=x+2√3√3 ⇒x−√3y+2√3=0
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