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Let S represents a circle of minimum radius in Argand plane which passes through z₁ and z₂ , then

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  1. AEquation of S is (z-z₁ ) ( z - z ₂ )+ (z-z₂ ) ( z - z ₁ )=0
  2. BCentre of S is represented by (z₁+2 z₂ )
  3. CRadius of S is |z₁-z₂ | 2
  4. DLet z be any complex number lying on circle S then (z₂-z ) |z₂-z | = (z-z₁ ) |z-z₁ | i

Correct answer

D. Let z be any complex number lying on circle S then (z₂-z ) |z₂-z | = (z-z₁ ) |z-z₁ | i

Step-by-step solution

z₁ and z₂ are end points of diameter.

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