Q. 20

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Find the equation of the line intersecting y-axis at a distance of 2 units above the origin and making an angle of 30° with positive direction of x-axis.

Answer :

Equation of line intersecting y-axis at a distance 2 units above the origin and making an angle of 30

^{o}with positive x-axis.

The line passes through (0,2) with slope tan30° =

Hence the equation of line is

(y-2) = (x-0)

i.e. x-y + 2=0

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