1
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
$$f$$ is defined in $$\left[ { - 5,5} \right]$$ as

$$f\left( x \right) = x$$ if $$x$$ is rational

$$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$ = - x$$ if $$x$$ is irrational. Then
A
$$f(x)$$ is continuous at every x, except $$x = 0$$
B
$$f(x)$$ is discontinuous at every $$x,$$ except $$x = 0$$
C
$$f(x)$$ is continuous everywhere
D
$$f(x)$$ is discontinuous everywhere
2
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
f(x) and g(x) are two differentiable functions on [0, 2] such that

f''(x) - g''(x) = 0, f'(1) = 2, g'(1) = 4, f(2) = 3, g(2) = 9

then f(x) - g(x) at x = $${3 \over 2}$$ is
A
0
B
2
C
10
D
5
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
If f(x + y) = f(x).f(y) $$\forall $$ x, y and f(5) = 2, f'(0) = 3, then
f'(5) is
A
0
B
1
C
6
D
2
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