Question:medium

If \(z=x+iy,\; z^{1/3}=a-ib\), then \(\dfrac{x}{a}-\dfrac{y}{b}=k(a^2-b^2)\), where \(k\) is equal to:

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Always expand powers of complex numbers using binomial theorem.
Updated On: Mar 24, 2026
  • \(1\)
  • \(2\)
  • \(3\)
  • \(4\)
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The Correct Option is C

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