Let and let be the roots of the equation . If , then the product of all possible values of is:
NVAMediumJEE Main 2023 · 25 January, Shift 2Nature of Roots & Formation of Equations
Mathematics Question from JEE Main 2023 · 25 January, Shift 2
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Nature of Roots & Formation of Equations questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- Let α and β be the roots of the equation x² + 2ax + (3a + 10) = 0 such that α < 1 < β. Then the set of all…Easy · JEE 2026
- The smallest positive integral value of a, for which all the roots of x⁴-ax²+9=0 are real and distinct, is…Medium · JEE 2026
- If α,β where α<β, are the roots of the equation λ x²-(λ+3)x+3=0 such that 1/α-1/β=1/3, then the sum of all…Medium · JEE 2026
- Let α₁ and β₁ be the distinct roots of 2x² + (cosθ)x - 1 = 0, θ ∈ (0, 2π). If m and M are the minimum and the…Easy · JEE 2025
- If the equation a(b - c)x² + b(c - a)x + c(a - b) = 0 has equal roots, where a + c = 15 and b = 36/5, then a²…Medium · JEE 2025
- Let α, β be the roots of the equation x² - ax - b = 0 with Im(α) < Im(β). Let Pₙ = αⁿ - βⁿ. If P₃ = -5√7 i,…Medium · JEE 2025