Question Statement:
2x + 3y + z = 0
x + y = 0
y + z = 0
The given system of equations has
Options:
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(A) a unique solution.
-
(B) infinitely many solutions.
-
(C) no solution.
-
(D) a finite number of solutions.
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.12)**
**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)**.
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