Distance of origin from the line `(1+sqrt3)y+(1-sqrt3)x=10` along the line `y=sqrt3x+k`

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

The distance of the point (1,-5,""9) from the plane x-y+z=5 measured along the line x=y=z is : (1) 3sqrt(10) (2) 10sqrt(3) (3) (10)/(sqrt(3)) (4) (20)/3

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

The distance of the point (1,2,3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3)(2)10sqrt(3)(3)3sqrt(10)3sqrt(5)(5)2sqrt(5)

The distance of the point (1,-5,9) from the plane x-y+z=5 measured along a straighat line x=y=z is (A) 5sqrt(3) (B) 3sqrt(10) (C) 3sqrt(5) (D) 10sqrt(3)

For which of the following curves, the line x + sqrt3 y = 2sqrt3 is the tangent at the point ((3sqrt3)/(2), 1/2) ?

The graph of straight line y = sqrt(3)x + 2sqrt(3) is :

The triangle formed by the lines sqrt(3)x+y-2=0,sqrt(3)x-y+1=0,y=0