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1
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If $$z=xy$$ $$ln(xy),$$ then
A
$$x{{\partial z} \over {\partial x}} + y{{\partial z} \over {\partial y}} = 0$$
B
$$y{{\partial z} \over {\partial x}} = x{{\partial z} \over {\partial y}}$$
C
$$x{{\partial z} \over {\partial x}} = y{{\partial z} \over {\partial y}}$$
D
$$y{{\partial z} \over {\partial x}} + x{{\partial z} \over {\partial y}} = 0$$
2
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
For $$0 \le t < \infty ,$$ the maximum value of the function $$f\left( t \right) = {e^{ - t}} - 2{e^{ - 2t}}\,$$ occurs at
A
$$t = {\log _e}4$$
B
$$t = {\log _e}2$$
C
$$t=0$$
D
$$t = {\log _e}8$$
3
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {1 \over x}} \right)^x}\,\,$$ is
A
$$ln2$$
B
$$1.0$$
C
$$e$$
D
$$\infty $$
4
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 $$x = {e^{ - 1}}$$
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Questions Asked from Marks 1
GATE ECE 2025 (2) GATE ECE 2022 (1) GATE ECE 2019 (1) GATE ECE 2018 (2) GATE ECE 2016 Set 2 (2) GATE ECE 2016 Set 1 (1) GATE ECE 2016 Set 3 (1) GATE ECE 2015 Set 1 (1) GATE ECE 2015 Set 3 (2) GATE ECE 2014 Set 4 (1) GATE ECE 2014 Set 3 (2) GATE ECE 2014 Set 2 (2) GATE ECE 2010 (1) GATE ECE 2008 (2) GATE ECE 2007 (4) GATE ECE 2005 (1) GATE ECE 1997 (1) GATE ECE 1995 (2) GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics