Question

Among the following statements which one is CORRECT?
S1: 𝑥2+𝑦2=6 is a level curve of 𝑓(𝑥, 𝑦)=$\sqrt{𝑥^2+𝑦^2}$−𝑥2−𝑦2+2
S2: 𝑥2−𝑦2=−3 is a level curve of 𝑔(𝑥, 𝑦) =$𝑒−{^𝑥}^{2} 𝑒{^y}^{2}$+𝑥4−2−2𝑥2𝑦2+y4

• A. both S1 and S2
• B. only S1
• C. only S2
• D. neither S1 nor S2

Answer 1

Answer: (A)

both S1 and S2

Answer 2

The correct option is (A): both S1 and S2