1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
If the difference between the roots of the equation $${x^2} + ax + 1 = 0$$ is less than $$\sqrt 5 ,$$ then the set of possible values of $$a$$ is
A
$$\left( {3,\infty } \right)$$
B
$$\left( { - \infty , - 3} \right)$$
C
$$\left( { - 3,3} \right)$$
D
$$\left( { - 3,\infty } \right)$$
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The sum of the series $${}^{20}{C_0} - {}^{20}{C_1} + {}^{20}{C_2} - {}^{20}{C_3} + .....\, - \,.....\, + {}^{20}{C_{10}}$$ is
A
$$0$$
B
$${}^{20}{C_{10}}$$
C
$$ - {}^{20}{C_{10}}$$
D
$${1 \over 2}{}^{20}{C_{10}}$$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
In the binomial expansion of $${\left( {a - b} \right)^n},\,\,\,n \ge 5,$$ the sum of $${5^{th}}$$ and $${6^{th}}$$ terms is zero, then $$a/b$$ equals
A
$${{n - 5} \over 6}$$
B
$${{n - 4} \over 5}$$
C
$${5 \over {n - 4}}$$
D
$${6 \over {n - 5}}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $$A \cup B \cup C = S,\,A \cap B = B \cap C = A \cap C = \phi $$. The number of ways to partition S is
A
$${{12!} \over {{{(4!)}^3}}}\,\,$$
B
$${{12!} \over {{{(4!)}^4}}}\,\,$$
C
$${{12!} \over {3!\,\,{{(4!)}^3}}}$$
D
$${{12!} \over {3!\,\,{{(4!)}^4}}}$$
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