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 : 59

Total: 66

Which of the following is true?

f(x) is decreasing on (−1, 1) and has a local minimum at x = 1.
f(x) is increasing on (−1, 1) and has a local maximum at x = 1.
f(x) is increasing on (−1, 1) but has neither a local maximum nor a local minimum at x = 1.
f(x) is decreasing on (−1, 1) but has neither a local maximum nor a local minimum at x = 1. Chapter

Validate

Go to Question:

Prev Question

Next Question