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[" 7.Distance of origin from line "],[(1...

[" 7.Distance of origin from line "],[(1+sqrt(3))y+(1-sqrt(3))x=10" along the line "],[y=sqrt(3)x+k" is "]

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Distance of origin from the line (1+sqrt(3))y+(1-sqrt(3))x=10 along the line y=sqrt(3)x+k

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The incentre of the triangle formed by the lines y=sqrt(3)x,y=-sqrt(3)x and y=3 is

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The equations of lines passing through the point (1,0) and at distance of (sqrt(3))/(2) units from the origin are (i) sqrt(3)x+y-sqrt(3)=0,sqrt(3)x-ysqrt(3)=0 (ii) sqrt(3)x+y+sqrt(3)=0,sqrt(3)x-y+sqrt(3)=0 (iii) x+sqrt(3)y-sqrt(3)=0,x-sqrt(3)y-sqrt(3)=0 (iv) none of these