1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If $$x$$ is real, the maximum value of $${{3{x^2} + 9x + 17} \over {3{x^2} + 9x + 7}}$$ is
A
$${1 \over 4}$$
B
$$41$$
C
$$1$$
D
$${17 \over 7}$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be selected, if a voter votes for at least one candidate, then the number of ways in which he can vote is
A
5040
B
6210
C
385
D
1110
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If the expansion in powers of $$x$$ of the function $${1 \over {\left( {1 - ax} \right)\left( {1 - bx} \right)}}$$ is $${a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}.....$$ then $${a_n}$$ is
A
$${{{b^n} - {a^n}} \over {b - a}}$$
B
$${{{a^n} - {b^n}} \over {b - a}}$$
C
$${{{a^{n + 1}} - {b^{n + 1}}} \over {b - a}}$$
D
$${{{b^{n + 1}} - {a^{n + 1}}} \over {b - a}}$$
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If $${{a_1},{a_2},....{a_n}}$$ are in H.P., then the expression $${{a_1}\,{a_2} + \,{a_2}\,{a_3}\, + .... + {a_{n - 1}}\,{a_n}}$$ is equal to
A
$$n({a_1}\, - {a_n})$$
B
$$(n - 1)({a_1}\, - {a_n})$$
C
$$n{a_1}{a_n}$$
D
$$(n - 1)\,\,{a_1}{a_n}$$
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