Q. 75.0( 3 Votes )

# The length of the perpendicular from the origin to a line is 7, and the line makes an angle of 1500 with the positive direction of y–axis. Find the equation of the line.

Assuming:

AB be the given line which makes an angle of 1500 with the positive direction of y–axis and OQ be the perpendicular drawn from the origin on the line.

Given:

p = 7 and α = 30°

Explanation:

So, the equation of the line AB is

Formula Used: x cos α + y sin α = p

x cos 30° + y sin 30° = 7

√3 x + y = 14

Hence, the equation of line in normal form is √3 x + y = 14

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