1
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
In a uniformly doped BJT, assume that NE, NB and NC are the emitter, base and collector dopings in atoms/cm3, respectively. If the emitter injection efficiency of the BJT is close unity, which one of the following conditions is TRUE?
A
NE = NB = NC
B
NE $$\gg$$ NB and NB > NC
C
NE = NB and NB < NC
D
NE < NB < NC
2
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of a skew-symmetric matrix are
A
always zero
B
always pure imaginary
C
either zero (or) pure imaginary
D
always real
3
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
If $$\,{e^y} = {x^{1/x}}\,\,$$ then $$y$$ has a
A
maximum at $$x=e$$
B
minimum $$x=e$$
C
maximum at $$x = {e^{ - 1}}$$
D
minimum $$x = {e^{ - 1}}$$
4
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
If $$\overrightarrow A = xy\,\widehat a{}_x + {x^2}\widehat a{}_y\,\,$$ then $$\,\,\oint {\overrightarrow A .d\overrightarrow r \,\,} $$ over the path shown in the figure is GATE ECE 2010 Engineering Mathematics - Vector Calculus Question 16 English
A
$$0$$
B
$${2 \over {\sqrt 3 }}$$
C
$$1$$
D
$$2\sqrt 3 $$
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