Describe the Level Curves of the Function $f ( x , y ) = \sqrt { 1 - x ^ { 2 } - 2 y ^ { 2 } }$

question 46

Multiple Choice

Describe the level curves of the function $f ( x , y ) = \sqrt { 1 - x ^ { 2 } - 2 y ^ { 2 } }$ .

• A)Concentric circles
• B)Non-concentric circles
• C)Concentric ellipses (not circles)
• D)Non-concentric ellipses (not circles)
• E)Parabolas with the same vertex
• F)Parabolas with the same focus
• G)Hyperbolas with the same vertices
• H)Hyperbolas with the same foci

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