Prove that the lines `sqrt(3)x+y=0,\ sqrt(3)y+x=0,\ sqrt(3)x+y=1\ a n d\ sqrt(3)y+x=1` form a rhombus.

Prove that the lines sqrt(3)x+y=0,sqrt(3)y+x=0,sqrt(3)x+y=1 and sqrt(3)y+x=1 form a rhombus.

Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

The quadrilateral formed by the lines sqrt(3)x+y=0,sqrt(3)y+x=0, sqrt(3)x+y=1,sqrt(3)y+x=1 is

sqrt(2)x+sqrt(3)y=0 sqrt(3)x+sqrt(8)y=0

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

Prove that the diagonals of the parallelogram formed by the four straight lines : sqrt3x+y=0, sqrt3y+x=0 , sqrt3x+y=1 and sqrt3y+x+1 are at right angle to one another.

Find angles between the lines sqrt(3) x +y=1 and x+ sqrt(3) y=1 .