InterviewSolution
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InterviewSolution
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Number of solutions of the equation `z^3+[3(barz)^2]/|z|=0` where z is a complex number isA. 2B. 3C. 6D. 5 |
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Answer» Correct Answer - D Given, `z^(3)+(3(barz)^(2))/(|z|)=0` Let `z=re^(itheta)` `rArr r^(3)e^(i3theta)+3re^(-2theta)=0` Since r cannot be zero, so `re^(i5theta)=-3` Which will hold for r = 3 and five values of `theta`. Thus, there are five solution. |
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