If a, b, c ∈ R, a > 0 and c ≠ 0 Let α and β be the real and distinct roots of the…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If a, b, c ∈ R, a > 0 and c ≠ 0 Let α and β be the real and distinct roots of the equation ax2 + bx + c = |c| and p, q be the real and distinct roots of the equation
ax2 + bx + c = 0 . Then
  1. p and q lie between α and β
  2. p and q do not lie between α and β
  3. Only p lies between α and β
  4. Only q lies between α and β

Answer

(A) p and q lie between α and β

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