1
GATE ECE 2016 Set 3
Numerical
+2
-0
In the circuit shown in the figure, transistor M1 is in saturation and has transconductance gm = 0.01 siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $$\lambda $$ to be zero, the small signal input pole frequency (in kHz) is _____ GATE ECE 2016 Set 3 Electronic Devices and VLSI - IC Basics and MOSFET Question 5 English
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2
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider a $$2 \times 2$$ square matrix $$A = \left[ {\matrix{ \sigma & x \cr \omega & \sigma \cr } } \right]$$
Where $$x$$ is unknown. If the eigenvalues of the matrix $$A$$ are $$\left( {\sigma + j\omega } \right)$$ and $$\left( {\sigma - j\omega } \right)$$, then $$x$$ is equal to
A
$$ + j\omega $$
B
$$ - j\omega $$
C
$$ + \omega $$
D
$$ - \omega $$
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
If the vectors $${e_1} = \left( {1,0,2} \right),\,{e_2} = \left( {0,1,0} \right)$$ and $${e_3} = \left( { - 2,0,1} \right)$$ form an orthogonal basis of the three dimensional real space $${R^3},$$ then the vectors $$u = \left( {4,3, - 3} \right) \in {R^3}$$ can be expressed as
A
$$u = - {2 \over 5}{e_1} - 3{e_2} - {{11} \over 5}{e_3}$$
B
$$u = - {2 \over 5}{e_1} - 3{e_2} + {{11} \over 5}{e_3}$$
C
$$u = - {2 \over 5}{e_1} + 3{e_2} + {{11} \over 5}{e_3}$$
D
$$u = - {2 \over 5}{e_1} + 3{e_2} - {{11} \over 5}{e_3}$$
4
GATE ECE 2016 Set 3
Numerical
+1
-0
The integral $$\int\limits_0^1 {{{dx} \over {\sqrt {\left( {1 - x} \right)} }}} $$ is equal ________.
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