PREVIOUS
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
$$\int\limits_0^R {\,\,2\pi rH{{\left( {1 - {r \over R}} \right)}^2}dr\,\,\,} $$
PREVIOUS

GATE EE Subjects

Browse all chapters by subject

Digital Electronics
Boolean Algebra Combinational Circuits Logic Gates Logic Families and Memories Minimization Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor
Control Systems
Time Response Analysis State Variable Analysis Basics of Control System Root Locus Techniques Block Diagram and Signal Flow Graph Controller and Compensator Polar Nyquist and Bode Plot Routh Hurwitz Stability
Power System Analysis
Circuit Breaker Parameters and Performance of Transmission Lines Switch Gear and Protection High Voltage Dc Transmission Symmetrical Components and Symmetrical and Unsymmetrical Faults Load Flow Studies Per Unit System Power Generation Cost Power System Stability Generating Power Station
Analog Electronics
Operational Amplifier 555 Timer Small Signal Modeling Bjt and Mosfet Biasing Diode Circuits and Applications Feedback Amplifiers and Oscillator Circuits Frequency Response
Electric Circuits
Three Phase Circuits Two Port Networks Network Theorems Sinusoidal Steady State Analysis Graph Theory Transient Response Network Elements
Electrical and Electronics Measurement
Potentiometer and Instrument Transformers Measurement of Resistance and A.C Bridges Measurement of Energy and Power Cathode Ray Oscilloscope Digital Voltmeters Questions Basic of Indicating Instruments Error Analysis and Measurement
Power Electronics
Power Semiconductor Devices Ac Voltage Controllers Single and Three Phase Rectifier Choppers and Commutation Techniques Inverters
Electromagnetic Fields
Time Varying Fields Electrostatics Magnetostatics
Signals and Systems
Continuous Time Signal Fourier Transform Miscellaneous Discrete Time Signal Z Transformation Continuous Time Periodic Signal Fourier Series Continuous and Discrete Time Signals Continuous Time Signal Laplace Transform Linear Time Invariant Systems Sampling Theorem
Electrical Machines
Induction Machines D.C Machines Transformers Synchronous Machines
Engineering Mathematics
Vector Calculus Calculus Transform Theory Probability and Statistics Differential Equations Linear Algebra Numerical Methods Complex Variable
General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
EXAM MAP

Browse past year questions by exam & subject

Joint Entrance Examination
JEE Main JEE Advanced MHT CET BITSAT COMEDK WB JEE KCET VITEEE AP EAPCET TS EAMCET IAT (IISER)
Medical
NEET AIIMS MHT CET (Biology)
Graduate Aptitude Test in Engineering
GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN GATE Data Science and Artificial Intelligence
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12