Q. Consider the line integral
โซ(๐ฅ๐๐ฆ โ ๐ฆ๐๐ฅ)
๐ถ
the integral being taken in a counterclockwise direction over the closed curve ๐ถ that forms the boundary of the region ๐ shown in the figure below. The region ๐ is the area enclosed by the union of a 2 ร 3 rectangle and a semi-circle of radius 1. The line integral evaluates to
(A) 6 + ๐/2
(B) 8 + ๐
(C) 12 + ๐
(D) 16 + 2๐
Ans: 12 + ฯ
Solution:
![Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]](https://www.gkseries.com/blog/wp-content/uploads/2023/10/Determine-the-correctness-or-otherwise-of-the-following-Assertion-A-and-the-Reason-R.jpg)
