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:

Agoraphobia

An anxiety disorder characterized by an intense fear of being in spaces or situations where escape might be difficult or help might not be available in the event of a panic attack.

Anxiety

A mental health condition characterized by feelings of worry, anxiety, or fear that are strong enough to interfere with one's daily activities.

Escape

The act of breaking free from confinement or an undesirable situation.

Obsessive-Compulsive Disorder

A disorder characterized by uncontrollable, reoccurring thoughts (obsessions) and behaviors (compulsions) that an individual feels the urge to repeat.