Show that the lines form an equilateral triangle with the line and find its area.
Given equation is
Let these two lines be respectively.
Angle between L1,L2 is
Similarly,the angle between L1,L3 is
Therefore the three lines form a triangle.
Since the sum of the angles in any triangle is
Since the angles that we found are
Hence the three lines form an equilateral triangle.
Let p be the perpendicular distance from the vertex(0,0) to the line
Area of the triangle is units.