Question

Show that lines x² – 4xy + y² = 0 and x + y = √6 form an equilateral triangle. Find its area and perimeter.

Answer 1

x² – 4xy + y² = 0 and x + y = √6 form a triangle OAB which is equilateral. Let OM be the perpendicular from the origin O to AB whose equation is x + y = √6