Q. 24.5( 2 Votes )

# Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x–axis is 30°.

Given: p = 4, α = 30

Concept Used:

Equation of line in normal form.

Explanation:

So, the equation of the line in normal form is

Formula Used: x cos α + y sin α = p

x cos30° + y sin30° = 4

x + y = 4

cos 30°, sin 30°

√3 x + y = 8

Hence, the equation of line is √3 x + y = 8.

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