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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)...

Paragraph:
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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.
Let p=b−4a,q=2a+bp = b - 4a, q = 2a + b, then pqpq is :

Options

  1. Anegative
  2. Bpositive
  3. C00
  4. Dnothing can be said

    **Paragraph for Question Nos. 3 to 4**
    If α,β\alpha, \beta are the roots of equation (k+1)x2−(20k+14)x+91k+40=0;(α<β)k>0(k + 1)x^2 - (20k + 14)x + 91k + 40 = 0; (\alpha < \beta) k > 0, then answer the following questions.

Correct answer

A. negative

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