1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The quadratic equations $${x^2} - 6x + a = 0$$ and $${x^2} - cx + 6 = 0$$ have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is
A
1
B
4
C
3
D
2
2
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
$$\left( { - 3,\infty } \right)$$
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
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
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