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 2005
MCQ (Single Correct Answer)
+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
$$b = a + c$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If both the roots of the quadratic equation $${x^2} - 2kx + {k^2} + k - 5 = 0$$ are less than 5, then $$k$$ lies in the interval
A
$$\left( {5,6} \right]$$
B
$$\left( {6,\,\infty } \right)$$
C
$$\left( { - \infty ,\,4} \right)$$
D
$$\left[ {4,\,5} \right]$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The value of $$a$$ for which the sum of the squares of the roots of the equation
$${x^2} - \left( {a - 2} \right)x - a - 1 = 0$$ assume the least value is
A
$$1$$
B
$$0$$
C
$$3$$
D
$$2$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12