If the two vertices of an equilateral triangle be `(0,0),(3,sqrt(3)),` find the third vertex.

Two vertices of an equilateral triangle are (0, 0) and (0,2 sqrt(3)) . Find the third vertex

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

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

If (-4,3) and (4,3) are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its third vertex lies above the x-axis. The equation of its circumcircel is ____________

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.

Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Find the third vertex if the length of the equal sides is 3.

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (a) (sqrt(5),0) (b) (0,0) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

The roots of the cubic equation (z+ab)^3=a^3,a !=0 represents the vertices of an equilateral triangle of sides of length

If the origin and the non - real roots of the equation 3z^(2)+3z+lambda=0, AA lambda in R are the vertices of an equilateral triangle in the argand plane, then sqrt3 times the length of the triangle is