Allied & ICAR Exam Bank • ALLIED_2694 MCQ • 1 Mark

Section 1: Engineering Mathematics

Vector Calculus

Subtopic: Stokes, Gauss and Green's theorems

Question Statement:

Green's Theorem in the plane is a special two-dimensional case of:

Options:

  • (A) Stokes' Theorem
  • (B) Cauchy's Theorem
  • (C) Taylor's Theorem
  • (D) Mean Value Theorem

Answer Key:

A

Step-by-Step Solution & Explanation

Green's theorem in the $xy$-plane corresponds directly to Stokes' theorem where the surface is flat in the $xy$-plane and unit normal is $\hat{k}$.
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