Let f , g and h be real-valued functions defined on the interval [0, 1] by f ( x ) = e x…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f, g and h be real-valued functions defined on the interval [0, 1] by f(x) = ex2 + e–x2, g(x) = xex2 + e–x2 and h(x) = x2ex2 + e–x2. If a, b and c denote, respectively, the absolute maximum of f, g and h on [0, 1], then
- a = b and c ≠ b
- a = c and a ≠ b
- a ≠ b and c ≠ b
- a = b = c
Answer
(D) a = b = c
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