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
END OF THE QUESTION PAPER
2012 BIOTECHNOLOGY - BT
BT 12/16
Space for Rough Work
2012 BIOTECHNOLOGY - BT
BT 13/16
Space for Rough Work
2012 BIOTECHNOLOGY - BT
BT 14/16
Space for Rough Work
2012 BIOTECHNOLOGY - BT
BT 15/16
Space for Rough Work
2012 BIOTECHNOLOGY - BT
BT 16/16
Space for Rough Work
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.65)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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