A political par ty orders an arch for the entrance to the ground in which the annual convention is
being held. The profile of the arch follows the equation y = 2x - 0.1x2 where y is the height of the
arch in meters. The maximum possible height of the arch is
(A) 8 meters (B) 10 meters (C) 12 meters (D) 14 meters
Options:
(A) 8 meters
(B) 10 meters
(C) 12 meters
(D) 14 meters
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.65)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: GA
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"A political par ty orders an arch for the entrance to the ground in which the annual convention is
being held. The profile of the arch follows the equation y = 2x - 0.1x2 where y is the height of the
arch in meters. Th..."*
- **Option (B) [CORRECT]**: *"10 meters"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"8 meters"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"12 meters"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"14 meters
END OF THE QUESTION PAPER
2012 BIOTECHNOLOGY - BT
BT 12/1"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **B**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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