Show that the points
(2,4),(2,6)`(2+sqrt3,5)` form an equilateral triangle.

Show that the points P(7,3) , Q ( 6,3+ sqrt3) and R (5,3) from an equilateral triangles.

Show that the points (4,4), (3,5), (-1,-1) form a right angled triangle.

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

Prove that the triangle formed by joining the three points whose coordinates ere (1,2,3),(2,3,1)a n d(3,1,2) is an equilateral triangle.

Prove that the points (2,3),(-4,-6)a n d(1,3/2) do not form a triangle.

If three points (0,\ 0),\ (3,\ sqrt(3)) and (3,\ lambda) form an equilateral triangle, then lambda= (a) 2 (b) -3 (c) -4 (d) None of these

Show that the points (1, 2, -2), (2, 3, -4) and (3, 4, -3) form a right angled triangle.

Show that the points (-2,5),(3,-4),(7,10) form a right angled isosceles triangle.

Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the vertices of an equilaterall triangle whose side is 2a

Prove that the lines y=sqrt3x+1,\ y=4\ n d\ y=-sqrt3x+2 form an equilateral triangle.