JEE Main 2024 Mathematics question
Let be a real valued function. If α and β are respectively the minimum and the maximum values of f, then α² + 2β² is equal to
Answer: (B)
Solution
On [2, 4], f(2) = √2 is the minimum (α² = 2) and the maximum is at x = 19/5 with β = √20 (β² = 20): 2 + 40 = 42.