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 31

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:

Helping Relationship

A relationship characterized by an imbalance of assistance, where one party provides support or aid to another.

Preinteraction

The phase before direct interaction begins, often used in contexts like therapy, counseling, or professional meetings to describe preliminary stages.

Orientation

The ability of an individual to recognize one's self in relation to time, place, and identity, often assessed in mental health evaluations.

Termination

The act of ending or concluding something, such as a contract, employment, or a biological process.