Identify the Equation Without Applying a Rotation of Axes $$x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 2 x + 4 y - 3 = 0$$

question 177

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 2 x + 4 y - 3 = 0$$

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

---

Definitions:

Reaction Structure

The arrangement and connectivity of atoms and the types of chemical bonds within the species participating in a chemical reaction.

Organic Product

A compound containing carbon atoms that have been created as the result of a chemical reaction involving organic molecules.

Reaction Structure

The molecular arrangement and bonds of reactants and products in a chemical reaction process.

Perform Reaction

Conducting a chemical process where reactants are converted into products through the breaking and forming of chemical bonds.