1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The probability that $$A$$ speaks truth is $${4 \over 5},$$ while the probability for $$B$$ is $${3 \over 4}.$$ The probability that they contradict each other when asked to speak on a fact is :
A
$${4 \over 5}$$
B
$${1 \over 5}$$
C
$${7 \over 20}$$
D
$${3 \over 20}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A particle acted on by constant forces $$4\widehat i + \widehat j - 3\widehat k$$ and $$3\widehat i + \widehat j - \widehat k$$ is displaced from the point $$\widehat i + 2\widehat j + 3\widehat k$$ to the point $$\,5\widehat i + 4\widehat j + \widehat k.$$ The total work done by the forces is :
A
$$50$$ units
B
$$20$$ units
C
$$30$$ units
D
$$40$$ units
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Distance between two parallel planes

$$\,2x + y + 2z = 8$$ and $$4x + 2y + 4z + 5 = 0$$ is :
A
$${9 \over 2}$$
B
$${5 \over 2}$$
C
$${7 \over 2}$$
D
$${3 \over 2}$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow u ,\overrightarrow v ,\overrightarrow w $$ be such that $$\left| {\overrightarrow u } \right| = 1,\,\,\,\left| {\overrightarrow v } \right|2,\,\,\,\left| {\overrightarrow w } \right|3.$$ If the projection $${\overrightarrow v }$$ along $${\overrightarrow u }$$ is equal to that of $${\overrightarrow w }$$ along $${\overrightarrow u }$$ and $${\overrightarrow v },$$ $${\overrightarrow w }$$ are perpendicular to each other then $$\left| {\overrightarrow u - \overrightarrow v + \overrightarrow w } \right|$$ equals :
A
$$14$$
B
$${\sqrt {7} }$$
C
$${\sqrt {14} }$$
D
$$2$$
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