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Engineering Mathematics
Linear Algebra
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Probability and Statistics
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Vector Calculus
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1
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that
A
$$\int\limits_s {\overrightarrow F .d\overrightarrow s = \int\limits_v \nabla .\overrightarrow F \,dv} $$
B
$$\int\limits_s {\overrightarrow F .d\overrightarrow s = \int\limits_v \nabla \times \overrightarrow F \,dv} $$
C
$$\int\limits_s {\overrightarrow F \times d\overrightarrow s = \int\limits_v \nabla .\overrightarrow F \,dv} $$
D
$$\int\limits_s {\overrightarrow F \times d\overrightarrow s = \int\limits_v \nabla \times \overrightarrow F \,dv} $$
2
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The directional derivative of $$f\left( {x,y} \right) = 2{x^2} + 3{y^2} + {z^2}\,\,$$ at point $$P\left( {2,1,3} \right)\,\,$$ in the direction of the vector $$\,\,a = \overrightarrow i - 2\overrightarrow k \,\,$$ is
A
$$4/\sqrt 5 $$
B
$$-$$ $$4/\sqrt 5 $$
C
$$\sqrt 5 /4$$
D
$$-$$ $$\sqrt 5 /4$$
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Questions Asked from Marks 1
GATE EE 2016 Set 2 (1) GATE EE 2014 Set 3 (1) GATE EE 2014 Set 1 (1) GATE EE 2011 (1) GATE EE 2010 (1) GATE EE 2007 (1) GATE EE 2002 (1) GATE EE 1994 (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