Question Statement:
For positive non-zero real variables p and q, if
log (p2 + q2) = log p + log q + 2 log 3 ,
then, the value of
p4+q4
p2q2 is
Options:
-
(A) 79
-
(B) 81
-
(C) 9
-
(D) 83
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.5)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Verbal & Numerical Aptitude.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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