Electrical Engineering > GATE 2022 > Vector Calculus
Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region R?
A
∫∫R dxdy
B
C xdy
C
C ydx
D
1/2 ∮C (xdy-ydx)

Correct : c

Similar Questions

Consider a vector u̅=2x̂+ŷ+2ẑ, where x̂, ŷ, and ẑ represent unit vectors along the coordinate axes x, y, and z, respectively. The directional derivative of...
#117 MCQ
Which one of the following vector functions represents a magnetic field ̂B? ( x̂, ŷ, and ẑ are unit vectors along x-axis, y-axis, and z-axis, respectivel...
#226 MCQ
Let ax and ay be unit vectors along x and y directions, respectively. A vector function is given by: F = axy − ayx The line integral of the above function ∫CF ·...
#319 Fill in the Blanks

Related Topics

area under curve GATE Electrical Engineering 2022 integral area closed curve integral electrical engineering gate differential form area line integral area GATE 2022 question 51

Unique Visitor Count

Total Unique Visitors

Loading......