Class 11Mathematics4-2.Quadratic Equations and InequationsQuadratic expressions and Position of roots
EasyIf $\alpha$ and $\beta$ are the roots of the quadratic equation $ax^2 + bx + c = 0$ and $k$ is a real number,then the condition for $\alpha < k < \beta$ is given by:
- A$ac > 0$
- B$ak^2 + bk + c = 0$
- C$ac < 0$
- D$a(ak^2 + bk + c) < 0$
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If non-zero real numbers $p$ and $q$ exist such that $\min f(x) > \max g(x)$,where $f(x) = x^2 + 2px + 2q^2$ and $g(x) = -x^2 - 2qx + p^2$ for $x \in \mathbb{R}$,find the set of values containing $|\frac{2p}{q}|$.
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DifficultJEE MAIN 2026
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