1
AIEEE 2006
+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
+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
+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 2005
+4
-1
In a triangle $$PQR,\;\;\angle R = {\pi \over 2}.\,\,If\,\,\tan \,\left( {{P \over 2}} \right)$$ and $$\tan \left( {{Q \over 2}} \right)$$ are the roots of $$a{x^2} + bx + c = 0,\,\,a \ne 0$$ then
A
$$a = b + c$$
B
$$c = a + b$$
C
$$b = c$$
D
$$b = a + c$$
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