Q. 84.1( 91 Votes )

In Exercise

Answer :

We know that the equation of the line having normal distance p from the origin and angle ω which the normal makes with the positive direction of x-axis is given by x cos ω + y sin ω = p.


Given p = 5 and ω = 30°


Substituting the values in the equation, we get


x cos30° + y sin30° = 5


x(3 / 2) + y( 1/2 ) = 5


3 x + y = 5(2) = 10


3 x + y 10 = 0


Ans. The equation of the line is √3 x + y – 10 = 0.


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