1
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following describes the relationship among the three vectors, $$\widehat i + \widehat j + \widehat k,\,\,2\widehat i + 3\widehat j + \widehat k$$ and $$5\widehat i + 6\widehat j + 4\widehat k?$$
A
The vectors are mutually perpendicular
B
The vectors are linearly dependent
C
The vectors are linearly independent
D
The vectors are unit vectors
2
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lt}\limits_{x \to 0} {{x - \sin x} \over {1 - \cos x}}$$ is
A
$$0$$
B
$$1$$
C
$$3$$
D
not defined
3
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The integral $$\,\,\oint\limits_C {\left( {ydx - xdy} \right)\,\,} $$ is evaluated along the circle $${x^2} + {y^2} = {1 \over 4}\,$$ traversed in counter clockwise direction. The integral is equal to
A
$$0$$
B
$$ - {\pi \over 4}$$
C
$$ - {\pi \over 2}$$
D
$$ {\pi \over 4}$$
4
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
In the following table, $$x$$ is a discrete random variable and $$p(x)$$ is the probability density. The standard deviation of $$x$$ is GATE ME 2014 Set 1 Engineering Mathematics - Probability and Statistics Question 20 English
A
$$0.18$$
B
$$0.36$$
C
$$0.54$$
D
$$0.6$$
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