1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The two lines $$x=ay+b, z=cy+d;$$ and $$x=a'y+b' ,$$ $$z=c'y+d'$$ are perpendicular to each other if :
A
$$aa'+cc'=-1$$
B
$$aa'+cc'=1$$
C
$${a \over {a'}} + {c \over {c'}} = - 1$$
D
$${a \over {a'}} + {c \over {c'}} = 1$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Suppose a population A has 100 observations 101, 102,........, 200, and another population B has 100 observations 151, 152,......., 250. If VA and VB represent the variances of the two populations, respectively, then $${{{V_A}} \over {{V_B}}}$$ is
A
1
B
$${9 \over 4}$$
C
$${4 \over 9}$$
D
$${2 \over 3}$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Let $W$ denote the words in the English dictionary. Define the relation $R$ by

$R=\{(x, y) \in W \times W \mid$ the words $x$ and $y$ have at least one letter in common}. Then, $R$ is
A
reflexive, symmetric and not transitive
B
reflexive, symmetric and transitive
C
reflexive, not symmetric and transitive
D
not reflexive, symmetric and transitive
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $$v = \alpha \sqrt x $$. The displacement of the particle varies with time as
A
t2
B
t
C
t1/2
D
t3
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