1.

Find the equation of the line whose distance from origin is 2 and the normal ray through origin makes an angle π/4 with the positive direction of the x-axis measured in counter clock sense. 

Answer»

We have p = 2 at α =  π/4 = 2

Hence, the equation of the line is

x cos π/4 + y sin π/4 = 2

or x + y = 2√2



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