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Question

Question: The equation \(z\bar{z}\) + (4 – 3i) z + (4 + 3i)\(\bar{z}\) + 5 = 0 represents a circle, whose radi...

The equation zzˉz\bar{z} + (4 – 3i) z + (4 + 3i)zˉ\bar{z} + 5 = 0 represents a circle, whose radius is –

A

2

B

52\frac{5}{2}

C

252\sqrt{5}

D

5

Answer

252\sqrt{5}

Explanation

Solution

Sol. a = 4 + 3i –® r = a2b\sqrt{|a|^{2}–b}= 255\sqrt{25–5} = 252\sqrt{5}