MHT CET · Maths · Complex Number
If \(\frac{z-1}{2 z+1}\) is an imaginary number and if it represents a circle then its radius is
- A \(\frac{9}{16}\) units
- B \(\frac{3}{4}\) units
- C \(\frac{1}{4}\) units
- D \(\frac{1}{2}\) units
Answer & Solution
Correct Answer
(B) \(\frac{3}{4}\) units
Step-by-step Solution
Detailed explanation
Let \(z = x+iy\). If \( \frac{z-1}{2z+1} \) is an imaginary number, then \( \text{Re}\left(\frac{z-1}{2z+1}\right) = 0 \).
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