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 **Linear Algebra** under *Engineering Mathematics* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- **Theoretical Deduction**: Direct application of fundamental principles confirms option **(C)** is the unique correct statement.
- **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions.
**3. Official Answer Verification**:
Official Answer: **C**.
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