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 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 anequilateral trilangle , then (A) a=2+sqrt(3) (B) b=4-sqrt(3) (C) a=b=2-sqrt(3) (D) a=2,b=sqrt(3)

a and b are real numbers between 0 and 1 such that the points Z_1 =a+ i , Z_2=1+ bi , Z_3= 0 form an equilateral triangle, then a and b are equal to

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)

In a Delta A B C ,if a=2,/_B=60^0a n d/_C=75^0 , then b= (a) sqrt(3) (b) sqrt(6) (c) sqrt(9) (d) 1+sqrt(2)

The ratio of the area of a square of side a and that of an equilateral triangle of side a , is (a) 2:1\ (b) 2:sqrt(3)\ (c) 4:3 (d) 4:sqrt(3)

If |z-4/2z|=2 then the least of |z| is (A) sqrt(5)-1 (B) sqrt(5)-2 (C) sqrt(5) (D) 2

If the complex number z_1,z_2 and z_3 represent the vertices of an equilateral triangle inscribed in the circle |z|=2 and z_1=1+isqrt(3) then (A) z_2=1,z_3=1-isqrt(3) (B) z_2=1-isqrt(3),z_3=-isqrt(3) (C) z_2=1-isqrt(3), z_3=-1+isqrt(3) (D) z_2=-2,z_3=1-isqrt(3)

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

Maximum value of |z+1+i|, where z in S is (a) sqrt(2) (b) 2 (c) 2sqrt(2) (d) 3sqrt(2)

z_1a n dz_2 are the roots of 3z^2+3z+b=0. if O(0),(z_1),(z_2) form an equilateral triangle, then find the value of bdot