1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The domain of the function
$$f\left( x \right) = {{{{\sin }^{ - 1}}\left( {x - 3} \right)} \over {\sqrt {9 - {x^2}} }}$$
A
[1, 2]
B
[2, 3)
C
[1, 2)
D
[2, 3]
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $$f(x) = {{1 - \tan x} \over {4x - \pi }}$$, $$x \ne {\pi \over 4}$$, $$x \in \left[ {0,{\pi \over 2}} \right]$$.

If $$f(x)$$ is continuous in $$\left[ {0,{\pi \over 2}} \right]$$, then $$f\left( {{\pi \over 4}} \right)$$ is
A
$$-1$$
B
$${1 \over 2}$$
C
$$-{1 \over 2}$$
D
$$1$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} + {b \over {{x^2}}}} \right)^{2x}} = {e^2}$$, then the value of $$a$$ and $$b$$, are
A
$$a$$ = 1 and $$b$$ = 2
B
$$a$$ = 1 and $$b$$ $$ \in R$$
C
$$a$$ $$ \in R$$ and $$b$$ = 2
D
$$a$$ $$ \in R$$ and $$b$$ $$ \in R$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Consider the following statements:
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?
A
only (a)
B
only (b)
C
only (a) and (b)
D
(a), (b) and (c)
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