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JEE Advanced 2013 Paper 2

Paragraph for Questions 49 and 50

Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0) = f(1) = 0 and satisfies f′′(x) - 2f′(x) + f(x) ≥ e‌x, x ∈ [0, 1].

Question : 49

Total: 60

Which of the following is true for 0 < x < 1 ?

0 < f(x) < ∞
−
1
2
< f(x) <
1
2
−
1
4
< f(x) < 1
- ∞ < f(x) < 0

Validate

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