Q. 8

# Find the equation of the straight line intersecting y – axis at a distance of 2 units above the origin and making an angle of 300 with the positive direction of the x–axis.

Given, A line which intersects at y–axis at a distance of 2 units and makes an angle of 30o with the positive direction of x–axis.

To Find: The equation of that line.

Formula used: The equation of line is [y – y1 = m(x – x1)]

Explanation: Here, Angle = 30o (Given)

So, The slope of the line, m = tan θ

m = tan 30o

Now, The coordinates are (x1, y1) = (0, 2)

The equation of line = y – y1 = m(x – x1)

y – 2 = (x – 0)

Hence, The equation of line is .

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