# Find the equation of a line where perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 300.

The perpendicular distance from the origin is 5 units i.e., p = 5 and ω = 300

Now equation of the line in normal form is

x cos ω + y sin ω = p

x cos 300 + y sin 300 = 5

x ×

= 10 (Required equation).

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