GATE AE 2009 • Q36 MCQ • 2 Marks Engineering Mathematics

Engineering Mathematics

Linear Algebra

Subtopic: Systems of Linear Equations

Question Statement:

A normal to the surface is

Options:

  • (A) П
  • (B) 1
  • (C) 0
  • (D) 47

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.36)** **1. Problem Statement & Parameters**: - **Module**: Engineering Mathematics (2 Mark, MCQ) - **Topic**: Linear Algebra (Systems of Linear Equations) - **Organizing Institute**: IIT Roorkee - **Problem Statement**: > A normal to the surface is **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Linear Algebra** (Systems of Linear Equations) under *Engineering Mathematics*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **B**. **3. Comprehensive Options Analysis**: - **(A)** *"П"*: ❌ **INCORRECT**. - **(B)** *"1"*: ✅ **CORRECT**. - **(C)** *"0"*: ❌ **INCORRECT**. - **(D)** *"47"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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