If z = x - iy and z^(1/3) = p + iq, then ((x/p + y/q))/((p² + q²)) is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2004 Mathematics question

JEE Main 2004 · Annual, Paper 1 · Q3230

JEE Main 2004Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

z = x - iy

and

{z^{{1 \over 3}}} = p + iq

, then

{{\left( {{x \over p} + {y \over q}} \right)} \over {\left( {{p^2} + {q^2}} \right)}}

is equal to :

JEE Main 2004 · Annual, Paper 1 · Q3230

JEE Main 2004Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

z = x - iy

and

{z^{{1 \over 3}}} = p + iq

, then

{{\left( {{x \over p} + {y \over q}} \right)} \over {\left( {{p^2} + {q^2}} \right)}}

is equal to :