a Find equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of `120^0` with the positive direction of x-axis.
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Given that, OC=P=4units `angle BAX =120^(@)` Let `angle COA=alpha, angle OCA =90^(@)` `because angle BAX=angle COA+OCA` [exterior angle property] `rArr120^(@)-alpha+90^(@)` `therefore =alpha=30^(@)` Now, the equation of required line is `xcos 30^(@) +ysin30^(@)30^(@)=4` `rArrx.sqrt(3)/(2)+y.(1)/(2)=-4` `rArrsqrt3x+=8`
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