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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z=x+iy,  z1/3=a−ibz = x + iy,\;{z^{1/3}} = a - ib and xa−yb=k(a2−b2)\frac{x}{a} - \frac{y}{b} = k\left( {{a^2} - {b^2}} \right), then value of kk equals
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Correct option: B
4
Option B is correct because by cubing the given expression and equating real and imaginary parts, we can find the value of k.

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