θ ∈ [0, 2π] and z1,z2,z3 are three complex numbers such that they

1.	θ ∈ [0, 2π] and z1,z2,z3 are three complex numbers such that they are collinear and (1+\|sinθ\|)z1 + (\|cosθ\|−1)z2 - √2z3 =0. If at least one of the complex numbers z1,z2,z3 is non-zero then number of possible values of θ is
Answer» $θ$ ∈ [0, 2 $π$ ] and $z_{1}, z_{2}, z_{3}$ are three complex numbers such that they are collinear and $(1 + \| s i n θ \|) z_{1}$ + $(\| c o s θ \| - 1) z_{2}$ - $\sqrt{2}$ $z_{3}$ =0. If at least one of the complex numbers $z_{1}, z_{2}, z_{3}$ is non-zero then number of possible values of $θ$ is

θ ∈ [0, 2π] and z1,z2,z3 are three complex numbers such that they are collinear and (1+|sinθ|)z1 + (|cosθ|−1)z2 - √2z3 =0. If at least one of the complex numbers z1,z2,z3 is non-zero then number of possible values of θ is

Answer»

$θ$ ∈ [0, 2 $π$ ] and $z_{1}, z_{2}, z_{3}$ are three complex numbers such that they are collinear and

$(1 + | s i n θ |) z_{1}$ + $(| c o s θ | - 1) z_{2}$ - $\sqrt{2}$ $z_{3}$ =0. If at least one of the complex numbers $z_{1}, z_{2}, z_{3}$ is

non-zero then number of possible values of $θ$ is