Question -
Answer -
Given:
A line which ispassing through (2, 2√3), the angle is 75o.
By using the formula,
The equation of lineis [y – y1 = m(x – x1)]
Here, angle, θ =75o
The slope of the line,m = tan θ
m = tan 75o
= 3.73 = 2 + √3
The line passingthrough (x1, y1) = (2, 2√3)
The required equationof the line is y – y1 = m(x – x1)
Now, substitute thevalues, we get
y – 2√3 = 2+ √3 (x – 2)
y – 2√3 = (2+ √3)x – 7.46
(2 + √3)x – y – 4= 0
∴ The equation of theline is (2 + √3)x – y – 4 = 0