Two points `O(0,0)` and `A(3,sqrt(3))` with another point `P` form an equilateral triangle. Find the coordinates of `Pdot`

Show that the points O(0, 0), A(3, sqrt(3)) "and "B(3, -sqrt(3)) are the vertices of an equilateral triangle. Find the area of this triangle.

If points O(0,0) A(3,sqrt(3)) and B(3,a) are the vertices of an equilaterla triangle then a=

If (-4,0) and (4,0) are two vertices of an equilateral triangle,find the coordinates of its third vertex.

Evaluate lamda , if three points (0, 0), (3, sqrt3) and (3, lamda) form an equilateral triangle.

If the points (0,0),(2,2sqrt(3)), and (p,q) are the verticesof an equilateral triangle,then (p,q) is

If the points (1,1),(-1,-1) and (-sqrt(3),k) are vertices of a equilateral triangle then find thevalues of k .

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 (-3, -3), (3, 3) and (-3sqrt(3), 3sqrt(3)) are the vertices of an equilateral triangle.

Show that the points (a,a),(-a,-a) and (-sqrt(3)a,sqrt(3)a) are the vertices of an equilateral triangle.Also,find its area.