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Complex Numbers question

2004 · Shift 0 · Q98
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Complex Numbers question

2004 · Shift 0 · Q98

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If z=x−iyz = x - iyz=x−iy and z13=p+iq{z^{{1 \over 3}}} = p + iqz31​=p+iq, then (xp+yq)(p2+q2){{\left( {{x \over p} + {y \over q}} \right)} \over {\left( {{p^2} + {q^2}} \right)}}(p2+q2)(px​+qy​)​ is equal to :
  1. A
    - 2
  2. B
    - 1
  3. C
    2
  4. D
    1
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