1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If non zero numbers $$a, b, c$$ are in $$H.P.,$$ then the straight line $${x \over a} + {y \over b} + {1 \over c} = 0$$ always passes through a fixed point. That point is :
A
$$(-1,2)$$
B
$$(-1, -2)$$
C
$$(1, -2)$$
D
$$\left( {1, - {1 \over 2}} \right)$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If $$C$$ is the mid point of $$AB$$ and $$P$$ is any point outside $$AB,$$ then :
A
$$\overrightarrow {PA} + \overrightarrow {PB} = 2\overrightarrow {PC} $$
B
$$\overrightarrow {PA} + \overrightarrow {PB} = \overrightarrow {PC} $$
C
$$\overrightarrow {PA} + \overrightarrow {PB} = 2\overrightarrow {PC} = \overrightarrow 0 $$
D
$$\overrightarrow {PA} + \overrightarrow {PB} = \overrightarrow {PC} = \overrightarrow 0 $$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Let $R=\{(3,3),(6,6),(9,9),(12,12),(6,12)$, $(3,9),(3,12),(3,6)\}$ be a relation on the set $A=\{3,6,9,12\}$. The relation is :
A
reflexive and symmetric only
B
an equivalence relation
C
reflexive only
D
reflexive and transitive only
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of $2 \mathrm{~cm} / \mathrm{s}^2$ and pursues the insect which is crawling uniformly along a straight line at a speed of $20 \mathrm{~cm} / \mathrm{s}$. Then the lizard will catch the insect after :
A
20 s
B
1 s
C
21 s
D
24 s

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