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

question 103

Multiple Choice

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

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

---

Definitions:

Consumer Surplus

The disparity between the total sum consumers are ready to pay for a product or service and the actual amount they end up spending.

Producer Surplus

The difference between what producers are willing to accept for a good or service and the actual price they receive, reflecting extra benefit or profit.

Tax

Compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Deadweight Loss

The reduction in economic productivity resulting from a failure to reach or the impossibility of reaching the market equilibrium for a particular product or service.