1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$f:R \to S$$, defined by
$$f\left( x \right) = \sin x - \sqrt 3 \cos x + 1$$,
is onto, then the interval of $$S$$ is
A
[-1, 3]
B
[-1, 1]
C
[0, 1]
D
[0, 3]
2
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]
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The graph of the function y = f(x) is symmetrical about the line x = 2, then
A
$$f\left( x \right) = - f\left( { - x} \right)$$
B
$$f\left( {2 + x} \right) = f\left( {2 - x} \right)$$
C
$$f\left( x \right) = f\left( { - x} \right)$$
D
$$f\left( {x + 2} \right) = f\left( {x - 2} \right)$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The function $$f\left( x \right)$$ $$ = \log \left( {x + \sqrt {{x^2} + 1} } \right)$$, is
A
neither an even nor an odd function
B
an even function
C
an odd function
D
a periodic function
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