Official PYQ · 2019Set 1 · Q27Vector AnalysisMCQ2 marks

GATE EC 2019 Set 1 Q27 — Vector Analysis

Consider the line integral

$\int_{c} (xdy-ydx)$

the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $R$ shown in the figure below. The region $R$ is the area enclosed by the union of a $2 \times 3$ rectangle and a semi-circle of radius $1$ . The line integral evaluates to

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Answer: C

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Published 10 Oct 2026

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