GATE BT 2013 • Q41
MCQ • 2 Marks
Section 2: General Biotechnology
Biomolecules, enzyme kinetics
Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
The solution to
ௗ௬
ௗ௫ݔܿ݁ݏܿ is
(A) y = (c+x) cot x (B) y = (c+x) cosec x
(C) y = (c + x) cosec x cot x (D) y = (c+x)
௦ ௫
ୡ୭୲ ௫
Options:
-
(A) y = (c+x) cot x
-
(B) y = (c+x) cosec x
-
(C) y = (c + x) cosec x cot x
-
(D) y = (c+x)
௦ ௫
ୡ୭୲ ௫
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.41)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **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: *"The solution to
ௗ௬
ௗ௫ݔܿ݁ݏܿ is..."*
- **Option (B) [CORRECT]**: *"y = (c+x) cosec x"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"y = (c+x) cot x"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"y = (c + x) cosec x cot x"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"y = (c+x)
௦ ௫
ୡ୭୲ ௫"* 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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