1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The degree and order of the differential equation of the family of all parabolas whose axis is $$x$$-axis, are respectively.
A
$$2, 3$$
B
$$2,1$$
C
$$1,2$$
D
$$3,2.$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Events $$A, B, C$$ are mutually exclusive events such that $$P\left( A \right) = {{3x + 1} \over 3},$$ $$P\left( B \right) = {{1 - x} \over 4}$$ and $$P\left( C \right) = {{1 - 2x} \over 2}$$ The set of possible values of $$x$$ are in the interval.
A
$$\left[ {0,1} \right]$$
B
$$\left[ {{1 \over 3},{1 \over 2}} \right]$$
C
$$\left[ {{1 \over 3},{2 \over 3}} \right]$$
D
$$\left[ {{1 \
3},{13 \over 3}} \right]$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow a \times \overrightarrow b = \overrightarrow b \times \overrightarrow c = \overrightarrow c \times \overrightarrow a $$ then $$\overrightarrow a + \overrightarrow b + \overrightarrow c = $$
A
$$abc$$
B
$$-1$$
C
$$0$$
D
$$2$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow u = \widehat i + \widehat j,\,\overrightarrow v = \widehat i - \widehat j$$ and $$\overrightarrow w = \widehat i + 2\widehat j + 3\widehat k\,\,.$$ If $$\widehat n$$ is a unit vector such that $$\overrightarrow u .\widehat n = 0$$ and $$\overrightarrow v .\widehat n = 0\,\,,$$ then $$\left| {\overrightarrow w .\widehat n} \right|$$ is equal to :
A
$$3$$
B
$$0$$
C
$$1$$
D
$$2$$
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