TS EAMCET · Maths · Complex Number
Let \(z\) be a complex number such that \(|z|-z=2+i\), where \(i=\sqrt{-1}\). Then, \(|z|=\)
- A \(\frac{5}{2}\)
- B \(\frac{\sqrt{41}}{4}\)
- C \(\frac{5}{3}\)
- D \(\frac{5}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{4}\)
Step-by-step Solution
Detailed explanation
We have, \(|z|-z=2+i\) Let \(z=x+i y \quad \therefore \sqrt{x^2+y^2}-x-i y=2+i\) Equating real part and imaginary part we get,…
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