Question Statement:
The equation of the straight line representing the tangent to the curve y = xଶ at
the point (1,1) is
Options:
-
(A) y = 2x - 2
-
(B) x = 2y - 1
-
(C) y - 1 = 2(x - 1)
-
(D) x - 1 = 2(y - 1)
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 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)**.
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