The length of the perpendicular segment from the origin to a line is 2 units and the inclination of this perpendicular is such that sin = and is acute. Find the equation of the line.

To Find: The equation of the line .


Given : p=2 units and = .


Since sin = =



Using Pythagoras theorem :


adj = = = 2 units.


i.e; cos = =


Formula used:


equation of the line: x cos +y sin =p


x () +y ( ) = 2


Hence ,2 x + y = 6 Or x +y =6 is the required equation of the line.


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