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Engineering Mathematics
Linear Algebra
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Differential Equations
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Calculus
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Probability and Statistics
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Numerical Methods
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Vector Calculus
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Transform Theory
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Complex Variable
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1
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
The integral $$\,\,{1 \over {2\pi }}\int\limits_0^{2\Pi } {Sin\left( {t - \tau } \right)\cos \tau \,d\tau \,\,\,} $$ equals
A
$$Sin\,t\cos t$$
B
$$0$$
C
$${1 \over 2}\,\,\cos \,t$$
D
$${1 \over 2}\,\,\sin \,t$$
2
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The expression $$V = \int\limits_0^H {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dh\,\,\,} $$ for the volume of a cone is equal to _________.
A
$$\int\limits_0^R {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dr\,\,\,} $$
B
$$\int\limits_0^R {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dh\,\,\,} $$
C
$$\int\limits_0^H {\,\,2\pi rH\left( {1 - {r \over R}} \right)dh\,\,\,} $$
D
$$\int\limits_0^R {\,\,2\pi rH{{\left( {1 - {r \over R}} \right)}^2}dr\,\,\,} $$
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Questions Asked from Marks 2
GATE EE 2024 (2) GATE EE 2023 (1) GATE EE 2022 (2) GATE EE 2017 Set 2 (1) GATE EE 2017 Set 1 (1) GATE EE 2016 Set 2 (1) GATE EE 2016 Set 1 (1) GATE EE 2015 Set 2 (1) GATE EE 2014 Set 2 (2) GATE EE 2012 (1) GATE EE 2010 (1) GATE EE 2009 (1) GATE EE 2007 (1) GATE EE 2006 (1)
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement