1
GATE EE 2023
Numerical
+2
-0.67
The closed curve shown in the figure is described by
$$r = 1 + \cos \theta $$, where $$r = \sqrt {{x^2} + {y^2}} ;x = r\cos \theta ,y = r\sin \theta $$The magnitude of the line integral of the vector field $$F = - y\widehat i + x\widehat j$$ around the closed curve is ___________ (Round off to 2 decimal places).
Your input ____
2
GATE EE 2023
Numerical
+2
-0.67
A quadratic function of two variables is given as
$$f({x_1},{x_2}) = x_1^2 + 2x_2^2 + 3{x_1} + 3{x_2} + {x_1}{x_2} + 1$$
The magnitude of the maximum rate of change of the function at the point (1, 1) is ___________ (Round off to the nearest integer).
Your input ____
3
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33
For a given vector $${[\matrix{ 1 & 2 & 3 \cr } ]^T}$$, the vector normal to the plane defined by $${w^T}x = 1$$ is
4
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33
In the figure, the vectors u and v are related as : Au = v by a transformation matrix A. The correct choice of A is
Paper analysis
Total Questions
Analog Electronics
3
Control Systems
6
Digital Electronics
3
Electric Circuits
7
Electrical Machines
7
Electromagnetic Fields
4
Engineering Mathematics
7
Power Electronics
4
Power System Analysis
6
Signals and Systems
8
General Aptitude
10
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