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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

Paragraph: **** Let f(x) = ax^2 + bx + c, a ≠ 0 , such that f(-1-x)...

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Let f(x)=ax2+bx+c,a≠0f(x) = ax^2 + bx + c, a \ne 0, such that f(−1−x)=f(−1+x)∀x∈Rf(-1-x) = f(-1+x) \forall x \in R. Also given that f(x)=0f(x) = 0 has no real roots and 4a+b>04a + b > 0.
If the above cubic has three real and distinct solutions for xx then exhaustive set of value of λ\lambda be :

Options

  1. A3<λ<103 < \lambda < 10
  2. B3<λ<303 < \lambda < 30
  3. Cλ=10\lambda = 10
  4. DNone of these

Correct answer

C. λ=10\lambda = 10

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