`a` and `b` are real numbers between 0 and 1 such that the points `z_1 =a+ i`, `z_2=1+ bi`, `z3= 0` form an equilateral triangle, then `a` and `b` are equal to

a and b are real numbers between 0 and 1 such that the points z_(1)=a+i,z_(2)=1+biz3=0 form an equilateral triangle,then a and b are equal to

If a and b are real numbers between o and 1 such that the points (a,0), (1,b) and (0,0) form an equilateral triangle then a=_______ and b=_________.

If a and b are two real number lying between 0 and 1 such that z_1=a+i, z_2=1+bi and z_3=0 form an equilateral triangle , then (A) a=2+sqrt(3) (B) b=4-sqrt(3) (C) a=b=2-sqrt(3) (D) a=2,b=sqrt(3)

If the points A(z),B(-z) and C(z+1) are vertices of an equilateral triangle then