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  • Find the equation of the line perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30 degree .

Find the equation of the line perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30 degree .

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We;know;that,;If;p;is;the;length;of;the;normal;from;origin;to;a;line\*and;w;is;the;angle;made;by;the;normal;with;the;positive; direction;of\*x-axis;then;the;equation;of;the;line;is;given;by\* Rightarrow xcos w+ysin w=p\*Here,;p=5;units;and;w=30^circ\* Thus,;the;required;equation;of;the;given;line;is\*xcos 30^circ +ysin 30^circ=5\*Rightarrow fracsqrt32x+frac12y=5\* Rightarrow sqrt3x+y=10\*

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Deependra Verma

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