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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

A quadratic equation f(x)=a x^2+b x+c=0 with a 0 , has positive distinct roots reciprocal of each other. Which of the following options is (are) incorrect?

Options

  1. Aa f^ (1)=0
  2. Ba f^ (1) < 0
  3. Ca f^ (1)>0
  4. DNothing can be said about a f^ (1)

Correct answer

D. Nothing can be said about a f^ (1)

Step-by-step solution

(1) Reciprocal roots c / a=1 c=a (2) Distinct roots b^2-4 a c=b^2-4 a^2>0 b^2 a^2 -4>0 ( a 0) (3) Positive roots b a 0 )

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