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WBJEE · Maths · Complex Number

The equation \(z \bar{z}+(2-3 i) z+(2+3 i) \bar{z}+4=0\) represents a circle of radius

  1. A 2 unit
  2. B 3 unit
  3. C 4 unit
  4. D 6 unit
Verified Solution

Answer & Solution

Correct Answer

(B) 3 unit

Step-by-step Solution

Detailed explanation

Hint: Centre and radius of \(z \bar{z}+\bar{a} z+a \bar{z}+b=0\) are \(-a\) and \(\sqrt{|a|^{2}-b} \therefore\) radius \(=\sqrt{13-4}=3\)