Let a complex number be w = 1 - 3 i. Let another complex number z be such that |zw| = 1 and arg(z) - arg(w) = (π)/2. Then the area of the triangle with vertices origin, z and w is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q3188

JEE Main 202118 Mar, Evening shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let a complex number be w = 1

-

{\sqrt 3 }

i. Let another complex number z be such that |zw| = 1 and arg(z)

-

arg(w) =

{\pi \over 2}

. Then the area of the triangle with vertices origin, z and w is equal to :