The equation of the lines passing through the point `(1,0)` and at a distance `(sqrt(3))/2` from the origin is (a).`sqrt(3)+y-sqrt(3)` =0 (b). `x+sqrt(3)y-sqrt(3)=0` (c). `sqrt(3)x-y-sqrt(3)=0` (d). `x-sqrt(3)y-sqrt(3)=0`

The equation of the lines passing through the point (1,0) and at a distance (sqrt(3))/2 from the origin is (a) sqrt(3)x+y-sqrt(3) =0 (b) x+sqrt(3)y-sqrt(3)=0 (c) sqrt(3)x-y-sqrt(3)=0 (d) x-sqrt(3)y-sqrt(3)=0

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

The equations of the lines which pass through the point (3,-2) and are inclined at 60^(@) to the line sqrt(3)x+y=1 are (i) y+2=0,sqrt(3)x-y-2-3sqrt(3)=0 (ii) x-2=0,sqrt(3)x-y+2+3sqrt(3)=0 (iii) x-3=0,sqrt(3)x-y-2-3sqrt(3)=0 (iv) none of these

The equation of line passing through (2,-3) and making an angle of 120^(@) with positive direction of x- axis is (i) sqrt(3)x-y+3-2sqrt(3)=0 (ii) sqrt(3)x+y-3-2sqrt(3)=0 (iii) sqrt(3)x+y+3-2sqrt(3)=0 (iv) sqrt(3)x+y+3+2sqrt(3)=0

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

Show that the equations of the straight lines passing through the point (3,-2) and inclined at 60^0 to the line sqrt(3)x+y=1 a r e y+2=0a n dy-sqrt(3)x+2+3sqrt(3)=0.

Show that the equations of eth straight lines passing through the point (3,-2) and inclined at 60^0 to the line sqrt(3)x+y=1a r ey+2=0a n dy-sqrt(3)x+2+3sqrt(3)=0.

Equation(s) of the straight line(s), inclined at 30^0 to the x-axis such that the length of its (each of their) line segment(s) between the coordinate axes is 10 units, is (are) x+sqrt(3)y+5sqrt(3)=0 x-sqrt(3)y+5sqrt(3)=0 x+sqrt(3)y-5sqrt(3)=0 x-sqrt(3)y-5sqrt(3)=0

Equation(s) of the straight line(s), inclined at 30^0 to the x-axis such that the length of its (each of their) line segment(s) between the coordinate axes is 10 units, is (are) x+sqrt(3)y+5sqrt(3)=0 x-sqrt(3)y+5sqrt(3)=0 x+sqrt(3)y-5sqrt(3)=0 x-sqrt(3)y-5sqrt(3)=0

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .