1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The differential equation whose solution is $$A{x^2} + B{y^2} = 1$$
where $$A$$ and $$B$$ are arbitrary constants is of
A
second order and second degree
B
first order and second degree
C
first order and first degree
D
second order and first degree
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of $$5$$ phone calls during $$10$$ minute time intervals. The probability that there is at the most one phone call during a $$10$$-minute time period is :
A
$${6 \over {{5^e}}}$$
B
$${5 \over 6}$$
C
$${6 \over 55}$$
D
$${6 \over {{e^5}}}$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If $$\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overrightarrow c = \overrightarrow a \times \left( {\overrightarrow b \times \overrightarrow c } \right)$$ where $${\overrightarrow a ,\overrightarrow b }$$ and $${\overrightarrow c }$$ are any three vectors such that $$\overrightarrow a .\overrightarrow b \ne 0,\,\,\overrightarrow b .\overrightarrow c \ne 0$$ then $${\overrightarrow a }$$ and $${\overrightarrow c }$$ are :
A
inclined at an angle of $${\pi \over 3}$$ between them
B
inclined at an angle of $${\pi \over 6}$$ between them
C
perpendicular
D
parallel
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The values of a, for which the points $$A, B, C$$ with position vectors $$2\widehat i - \widehat j + \widehat k,\,\,\widehat i - 3\widehat j - 5\widehat k$$ and $$a\widehat i - 3\widehat j + \widehat k$$ respectively are the vertices of a right angled triangle with $$C = {\pi \over 2}$$ are :
A
$$2$$ and $$1$$
B
$$-2$$ and $$-1$$
C
$$-2$$ and $$1$$
D
$$2$$ and $$-1$$
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