1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If the roots of the quadratic equation $${x^2} + px + q = 0$$ are $$\tan {30^ \circ }$$ and $$\tan {15^ \circ }$$, respectively, then the value of $$2 + q - p$$ is
A
2
B
3
C
0
D
1
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
All the values of $$m$$ for which both roots of the equation $${x^2} - 2mx + {m^2} - 1 = 0$$ are greater than $$ - 2$$ but less then 4, lie in the interval
A
$$ - 2 < m < 0$$
B
$$m > 3$$
C
$$ - 1 < m < 3$$
D
$$1 < m < 4$$
3
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
$${17 \over 7}$$
4
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
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