Q. 4

# Find the equation of the line passing through (2, 2) and inclined with x – axis at an angle of 750.

A line which is passing through (2,2√3), the angle is 75o.

To Find: The equation of a straight line.

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

Explanation: Here, angle, θ = 75o

SO, The slope of the line, m = tan θ

m = tan 75o

m = 3.73 = 2 +

The line passing through (x1,y1) = (2,2√3)

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

y – 2√3 = 2 + √3 (x – 2)

y – 2√3 = (2 + √3)x – 7.46

(2 + √3)x – y – 4 = 0

Hence, The equation of the line is (2 + √3)x – y – 4 = 0

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