Find the equation of the straight line intersecting y – axis at a distance of 2 units above the origin and making an angle of 30 0 with the positive direction of the x–axis.

Question

Philoid · Accepted Answer

Given, A line which intersects at y–axis at a distance of 2 units and makes an angle of 30^o 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 = 30^o (Given)

So, The slope of the line, m = tan θ

m = tan 30^o

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 .

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.

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.