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in Mathematics by (59.7k points)

Find the equation of straight line at a perpendicular distance of 5 units from the origin such that the perpendicular drawn from the origin makes an angle of 30° with the +ve direction of x-axis measured anticlockwise.

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Given p = 5, α = 30° 

∴ By the normal form of straight line, the equation of required line is x cosα + ysinα = p

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