If the vertices of an equilateral triangle ABC are `(1,1),(-1,-1)` and `(a,b)` then

Show that the following sets of points are the vertices of an equilateral triangle :- (1, 1),(- 1,-1) and (-sqrt3,sqrt3) .

If two vertices of an equilateral triangle are (1,1) and (-1,-1) then the third vertex may be

If two vertices of an equilateral triangle are (1,1) and (-1,1) then the third vertex may be

If the vertices of a triangle ABC are A (-4, -1), B (1,2) and C (4, -3), then the coordinates of the circumcentre of the triangle are,

The coordinates of the vertices A ,B and C of the triangle ABC are (-1,3),(1,-1) and (5,1) respectively . Find the length of the median through the vertex A.

If the points A(z),B(-z),C(1-z) are the vertices of an equilateral triangle ABC then Re(z) is

Two vertices of an equilateral triangle are (-1,0) and (1,0) then its circumcircle is

If the vertices A,B,C of a triangle ABC are A(1,1,8),B(4,-3,-4)and C(-3,1,5) respectively then find angle BAC .