Please Register To Attempt Complete Test

Create Account

**
***In each paragraph 2 multiple choice questions have to be answered. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.*

*Paragraph: 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)≥e^{x}, x ∈[0,1]. *

If the function

*e*

^{−x}

*f*(

*x*) assumes its minimum in the interval [0, 1] at , which of the following is true ?