AIEEE 2003 | Functions Question 134 | Mathematics

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

$${{7n\left( {n + 1} \right)} \over 2}$$

$${{7n} \over 2}$$

$${{7\left( {n + 1} \right)} \over 2}$$

$$7n + \left( {n + 1} \right)$$

AIEEE 2003

MCQ (Single Correct Answer)

-1

Domain of definition of the function f(x) = $${3 \over {4 - {x^2}}}$$ + $${\log _{10}}\left( {{x^3} - x} \right)$$, is

(-1, 0)$$ \cup $$(1, 2)$$ \cup $$(2, $$\infty $$)

(1, 2)

(-1, 0) $$ \cup $$ (1, 2)

(1, 2)$$ \cup $$(2, $$\infty $$)

AIEEE 2002

MCQ (Single Correct Answer)

-1

The period of $${\sin ^2}\theta $$ is

$${\pi ^2}$$

$$\pi $$

$$2\pi $$

$$\pi /2$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

Which one is not periodic?

$$\left| {\sin 3x} \right| + {\sin ^2}x$$

$$\cos \sqrt x + {\cos ^2}x$$

$$\cos \,4x + {\tan ^2}x$$

$$cos\,2x + \sin x$$

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