Identify the Equation Without Applying a Rotation of Axes $$2 x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 3 x - 2 y + 10 = 0$$

question 49

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$2 x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 3 x - 2 y + 10 = 0$$

• A) parabola
• B) hyperbola
• C) ellipse
• D) not a conic

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Definitions:

Delusions

Strongly held false beliefs not influenced by logical reasoning or explained by a person's cultural context.

Illusions

Perceptual experiences that misrepresent physical stimuli, leading to incorrect perceptions of reality.

Hallucinations

Perceptions in the absence of external stimuli that have a compelling sense of reality, typically involving hearing or seeing things that aren't there.

Enlarged Ventricles

A condition where the chambers of the heart or brain (ventricles) are increased in size, which can impair their function.