1.

Find the equation of a line which passes through the point (2, 3) and makes an angle of 30° with the positive direction of x-axis.

Answer»

Here the slope of the line is m = tanθ = tan 30° =1/√3 and the given point is (2, 3). Therefore, using point slope formula of the equation of a line, we have

y – 3 = (1/√3)(x-2)

or, x – √(3y) + (3√3 – 2) = 0.



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