1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A real valued function f(x) satisfies the functional equation

f(x - y) = f(x)f(y) - f(a - x)f(a + y)

where a is given constant and f(0) = 1, f(2a - x) is equal to
A
- f(x)
B
f(x)
C
f(a) + f(a - x)
D
f(- x)
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The range of the function f(x) = $${}^{7 - x}{P_{x - 3}}$$ is
A
{1, 2, 3, 4, 5}
B
{1, 2, 3, 4, 5, 6}
C
{1, 2, 3, 4}
D
{1, 2, 3}
3
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]
4
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
$$f\left( {x + 2} \right) = f\left( {x - 2} \right)$$
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