Test Index

IIT JEE Advanced 2008 Paper 1

Paragraph Type
This section contains 3 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 Questions 61–63:
Consider the functions defined implicitly by the equation y3 − 3y + x = 0 on various intervals in the real line. If x ∈ (-∞, -2) ∪ (2, ∞), the equation implicitly defines a unique real valued differentiable function y = f(x).
If x ∈(-2, 2), the equation implicitly defines a unique real valued differentiable function y = g(x) satisfying g(0) = 0.

Question : 62

Total: 69

The area of the region bounded by the curves y = f(x), the x-axis, and the lines x = a and x = b, where -∞ < a < b < -2, is

b
∫
a
x
3[(f(x))2−1]
dx + bf (b) - f (a)
-
b
∫
a
x
3[(f(x))2−1]
dx + bf (b) - f (a)
b
∫
a
x
3[(f(x))2−1]
dx - bf (b) - f (a)
-
b
∫
a
x
3[(f(x))2−1]
dx - bf (b) - f (a)

Validate

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