Question Statement:
If two distinct non-zero real variables x and y are such that (x + y) is proportional
to (x - y) then the value of
x
y
Options:
-
(A) depends on xy
-
(B) depends only on x and not on y
-
(C) depends only on y and not on x
-
(D) is a constant
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.2)**
**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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