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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

All the three roots of a z^3+b z^2+c z+d=0 have negative real parts (a, b, c, R, a 0) then

Options

  1. Aa b 0
  2. Bb c 0
  3. Cad 0
  4. Da 0

Correct answer

C. ad 0

Step-by-step solution

Let the roots of a z^3+b z^2+c z+d=0, z₁=x₁, z₂, z₃=x₂ i y₂ aligned & z ₁+ z ₂+ z ₃=- b a & ab 0 & Also z ₁ z ₂ z ₃= x ₁ ( x ₂^2+ y ₂^2 )=- d a & ad 0 aligned

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