Question Statement:
Consider the function f(x, y) =
x2
2 +
y2
3 - 5. All the roots of this function
Options:
-
(A) form a finite set of points.
-
(B) lie on an elliptical curve.
-
(C) lie on the surface of a sphere.
-
(D) lie on a hyperbolic curve.
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2018 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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