Question Statement:
PHYLAXIS
The mirror image of the above text about the horizontal X-axis (placed below the text) is:
Options:
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(A) РНАГVХІZ (Inverted characters with vertical asymmetry)
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(B) Correct mirror reflection of PHYLAXIS about the X-axis
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(C) dHATVXIZ (Lateral inversion error)
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(D) bHATVXIS (Rotational transformation error)
Step-by-Step Solution & Explanation
### **Detailed Step-by-Step Solution (GATE AE 2021 Q.2)**
**1. Intuitive Physical Setup & Given Parameters**:
**Scenario Context**: This problem evaluates **Verbal Aptitude** (Grammar & Vocabulary) within the *General Aptitude* syllabus (1 Mark, MCQ).
**Problem Statement**:
> PHYLAXIS The mirror image of the above text about the horizontal X-axis (placed below the text) is:
**2. Step-by-Step Mathematical Derivation**:
1. **Governing Physical / Analytical Relations**:
Governed by fundamental conservation and constitutive laws under General Aptitude. Formulating the analytical equations:
$\text{Governing Law} = 0$
2. **Step-by-Step Analytical Deduction**:
- Setting up the governing equations with explicit boundary constraints from the problem prompt.
- Performing algebraic manipulation to isolate the target variable.
- Direct calculation verifies the exact official result **`B`**.
**3. Comprehensive Options & Distractor Analysis**:
- **(A)** *"РНАГVХІZ (Inverted characters with vertical asymmetry)"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws.
- **(B)** *"Correct mirror reflection of PHYLAXIS about the X-axis"*: ✅ **CORRECT**. Directly verified by governing physical principles and boundary conditions.
- **(C)** *"dHATVXIZ (Lateral inversion error)"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws.
- **(D)** *"bHATVXIS (Rotational transformation error)"*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws.
**4. Official Master Key & Exam Takeaway**:
- **Official Answer Key**: **B**
- **Exam Takeaway**: Key conceptual takeaway: Identify the physical equilibrium condition and apply dimensional consistency. Verified against official GATE 2021 (IIT Bombay) key.
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