Consider the contour C shown in the figure below. For the vector
F⃗ = (x + 2y)êx + (2x + 4y)êy, the integral ∮ F⃗ ⋅ dl⃗
C =________.
Here dl⃗ represents an infinitesimal length along the contour C.
Options:
(A) 0
(B) 2
(C) 4
(D) 6
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.11)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.