Let z be a complex number such that | z-1 z+2 i |=1 and |z|= 5 2 . Then the value of | z…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

Let z be a complex number such that \(\left|\frac{z-1}{z+2 i}\right|=1\) and \(|z|=\frac{5}{2}\). Then the value of \(|\mathbf{z}+\mathbf{3} i|\) is :
  1. \(\sqrt{10}\)
  2. \(2 \sqrt{3}\)
  3. \(\frac{7}{2}\)
  4. \(\frac{15}{4}\)

Answer

(A) 10

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