1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$f:R \to R$$ satisfies $$f$$(x + y) = $$f$$(x) + $$f$$(y), for all x, y $$ \in $$ R and $$f$$(1) = 7, then $$\sum\limits_{r = 1}^n {f\left( r \right)} $$ is
A
$${{7n\left( {n + 1} \right)} \over 2}$$
B
$${{7n} \over 2}$$
C
$${{7\left( {n + 1} \right)} \over 2}$$
D
$$7n + \left( {n + 1} \right)$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Domain of definition of the function f(x) = $${3 \over {4 - {x^2}}}$$ + $${\log _{10}}\left( {{x^3} - x} \right)$$, is
A
(-1, 0)$$ \cup $$(1, 2)$$ \cup $$(2, $$\infty $$)
B
(1, 2)
C
(-1, 0) $$ \cup $$ (1, 2)
D
(1, 2)$$ \cup $$(2, $$\infty $$)
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
The period of $${\sin ^2}\theta $$ is
A
$${\pi ^2}$$
B
$$\pi $$
C
$$2\pi $$
D
$$\pi /2$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
Which one is not periodic?
A
$$\left| {\sin 3x} \right| + {\sin ^2}x$$
B
$$\cos \sqrt x + {\cos ^2}x$$
C
$$\cos \,4x + {\tan ^2}x$$
D
$$cos\,2x + \sin x$$
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