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Quadratic Equation and Inequalities · 2024 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 6 Apr · Shift 1
Mathematics
Quadratic Equation and Inequalities

Quadratic Equation and Inequalities · 2024 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q41.Let $x^{2} - (t^{2} - 5 t + 6) x + 1 = 0, t \in R$ be the distinct roots of the equation $x^{2} - (t^{2} - 5 t + 6) x + 1 = 0, t \in R$ and $a_{n} = α^{n} + β^{n}$ . Then the minimum value of $\frac{a _{2023} + a _{2025}}{a _{2024}}$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q51.Let $x_{1}, x_{2}, x_{3}, x_{4}$ be the solution of the equation $4 x^{4} + 8 x^{3} - 17 x^{2} - 12 x + 9 = 0$ and $(4 + x_{1}^{2}) (4 + x_{2}^{2}) (4 + x_{3}^{2}) (4 + x_{4}^{2}) = \frac{125}{16} m$ . Then the value of $m$ is …
Mathematics · Quadratic Equation and Inequalities · Numerical