Test Index

IIT JEE Advanced 2008 Paper 2

Paragraph Type
This section contains 2 paragraphs. Based on each paragraph, there are 3 questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Paragraph for Question Nos. 58–60:
Consider the function
f : (- ∞ , ∞) → (- ∞ , ∞) defined by f (x) =

x2−ax+1

x2+ax+1

, 0 < a < 2.

Question : 60

Total: 66

Let g (x) =

∫

f′(t)

1+t2

dt , which of the following is true?

g′(x) is positive on (−∞, 0) and negative on (0, ∞).
g′(x) is negative on (−∞, 0) and positive on (0, ∞).
g′(x) changes sign on both (−∞, 0) and (0, ∞).
g′(x) does not change sign on (−∞, ∞).

Validate

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