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Quadratic Equation and Inequalities question

2025 · 7 Apr · Shift 1 · Q37
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  5. /2025 · 7 Apr · Shift 1 · Q37

Quadratic Equation and Inequalities question

2025 · 7 Apr · Shift 1 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let the set of all values of p∈Rp \in \mathbb{R}p∈R, for which both the roots of the equation x2−(p+2)x+(2p+9)=0x^2-(p+2) x+(2 p+9)=0x2−(p+2)x+(2p+9)=0 are negative real numbers, be the interval (α,β](\alpha, \beta](α,β]. Then β−2α\beta-2 \alphaβ−2α is equal to
  1. A
    5
  2. B
    0
  3. C
    20
  4. D
    9
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