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JEE Main 2000 Mathematics question on Complex Numbers and Quadratic Equations

If α\alpha and β\beta (α<β\alpha < \beta) are the roots of the equation x2+bx+c=0x^2 + bx + c = 0, where c<0<bc < 0 < b, then
  1. A.
    0<α<β0 < \alpha < \beta
  2. B.
    α<0<β<∣α∣\alpha < 0 < \beta < |\alpha|
  3. C.
    α<β<0\alpha < \beta < 0
  4. D.
    α<0<∣α∣<β\alpha < 0 < |\alpha| < \beta
Show answer

Correct option: B

[2000]

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