Chemical Engineering > GATE 2011 > Vector Calculus
R is a closed planar region as shown by the shaded area in the figure below. Its boundary C consists of the circles C1 and C2.
If F1(x,y), F2(x,y), ∂F2/∂x and ∂F1/∂y are all continuous everywhere in R, Green's theorem states that ∫∫R(∂F2/∂x-∂F1/∂y)dxdy = ∮C(F1dx+F2dy). Which ONE of the following alternatives CORRECTLY depicts the direction of integration along C?
A
B
C
D
Correct : c
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