Question Statement:
If a monotonic and continuous function
()y f x= has only one root in the
interval
12x x x , then
Options:
-
(A) 12( ) ( ) 0f x f x
-
(B) 12( ) ( ) 0f x f x =
-
(C) 12( ) ( ) 0f x f x
-
(D) 12( ) ( ) 0f x f x-=
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 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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