If z and ω are two non-zero complex numbers such that | zω | = 1 and Arg(z) - Arg(ω) = (π)/2, then z ω is equal to

Complex Numbers and Quadratic Equations: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q3206

JEE Main 2003Annual, Paper 1MathematicsHardComplex Numbers and Quadratic Equations264× since 2002

z

and

\omega

are two non-zero complex numbers such that

\left| {z\omega } \right| = 1

and

Arg(z) - Arg(\omega ) = {\pi \over 2},

then

\,\overline {z\,} \omega

is equal to

JEE Main 2003 · Annual, Paper 1 · Q3206

JEE Main 2003Annual, Paper 1MathematicsHardComplex Numbers and Quadratic Equations264× since 2002

z

and

\omega

are two non-zero complex numbers such that

\left| {z\omega } \right| = 1

and

Arg(z) - Arg(\omega ) = {\pi \over 2},

then

\,\overline {z\,} \omega

is equal to