1
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
$$f\left( {x + 2} \right) = f\left( {x - 2} \right)$$
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 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
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A function $$f$$ from the set of natural numbers to integers defined by $$$f\left( n \right) = \left\{ {\matrix{ {{{n - 1} \over 2},\,when\,n\,is\,odd} \cr { - {n \over 2},\,when\,n\,is\,even} \cr } } \right.$$$ is
A
neither one -one nor onto
B
one-one but not onto
C
onto but not one-one
D
one-one and onto both
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