Question
If $z=x+i y$ and $z^{1 / 3}=a-i b$ and $\frac{x}{a}-\frac{y}{b}=k\left(a^{2}-b^{2}\right)$, then the value of $k$ is given by(a) 4(b) 2(c) 1(d) $\frac{1}{4}$
Step 1
Step 1: Given that $z^{1 / 3}=a-i b$, we can write $z = (a-ib)^3$. Show more…
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