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Complex Numbers question

2021 · 18 Mar · Shift 1 · Q32
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  5. /2021 · 18 Mar · Shift 1 · Q32

Complex Numbers question

2021 · 18 Mar · Shift 1 · Q32

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If the equation a∣z∣2+α‾z+αz‾‾+d=0a|z{|^2} + \overline {\overline \alpha z + \alpha \overline z } + d = 0a∣z∣2+αz+αz​+d=0 represents a circle where a, d are real constants then which of the following condition is correct?
  1. A
    |α\alphaα|2 −-− ad eee 0
  2. B
    |α\alphaα|2 −-− ad > 0 and a ∈\in∈ R −-− {0}
  3. C
    |α\alphaα|2 −-− ad ≥\ge≥ 0 and a ∈\in∈ R
  4. D
    α\alphaα = 0, a, d ∈\in∈ R+
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