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 74

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

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Definitions:

Tax

A mandatory monetary fee or a different kind of tax placed on an individual or entity by a government agency.

Producer Surplus

The gap between the minimum amount that sellers are prepared to accept for a product or service and the higher price they actually get.

Consumer Surplus

The deviation between what consumers intend and are able to spend on a good or service compared to their final payment.

Tax

A financial charge or levy imposed by a government on individuals or entities to fund public expenditure, creating government revenue.