If … and … are two non-zero complex numbers such that … and … then … is equal to

Complex Numbers

JEE Main 2003 · Annual, Paper 1 · Q3206

MathematicsHard53×since 2002Q3206

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

MathematicsHard53×since 2002Q3206

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