Show that the lines `(x+2a)^2-3y^2=0,x=a` form an equilateral triangle.

Show that the lines x^2-4xy+y^2=0 and x+y=3 form an equilateral triangle and find its area.

Show that the lines x^2-4xy+y^2=0 and x+y=1 form an equilateral triangle and find its area.

Show that the lines x^2-4xy+y^2=0 and x+y=1 form an equilateral triangle and find its area.

Show that the lines x^2-4xy+y^2=0 and x+y=1 form an equilateral triangle and find its area.

Show that the lines x^(2)+16xy-11y^(2)=0 form an equilateral triangle with the line 2x+y+1=0 and find its area.

Show that the line x^(2)-4xy+y^(2)=0 and x+y=3 from an equilateral triangle.

Prove that the lines y=3x+1,y=4ndy=-3x+2 form an equilateral triangle.

Show that the straight line x^2-4xy+y^2=0 and x + y = 3 form an equilateral triangle.