TS EAMCET · Maths · Complex Number
The solutions of the equation \(z^2\left(1-z^2\right)=16\), \(z \in \mathbf{C}\), lie on the curve
- A \(|z|=1\)
- B \(|z|=\frac{2}{|z|}\)
- C \(|z|^2=3|z|+2\)
- D \(|z|=2\)
Answer & Solution
Correct Answer
(D) \(|z|=2\)
Step-by-step Solution
Detailed explanation
Given equation, \(z^2\left(1-z^2\right)=16, z \in \mathbf{C}\) Now, let \(z^2=w=r(\cos \theta+i \sin \theta)\) where \(r>0\).…
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