Find the Center and the Radius of the Circle $$x ^ { 2 } + y ^ { 2 } + 12 x - 2 y + 33 = 0$$

question 52

Multiple Choice

Find the center and the radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } + 12 x - 2 y + 33 = 0$$

• A) center \(( 6 , - 1 )\), radius \(= 4\)
• B) center \(( - 6,1 )\), radius \(= 4\)
• C) center \(( - 6,1 )\), radius \(= 2\)
• D) center \(( 6 , - 1 )\), radius \(= 2\)

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Definitions:

Marginal Utility

The additional satisfaction or benefit received from consuming one more unit of a good or service.

Total Utility

The complete satisfaction received from consuming a particular quantity of goods or services.

Consumer's Income

The total amount of money earned by a consumer, influencing their purchasing power and spending behavior.

Equilibrium

A state of balance or stability within a system where opposing forces or influences are equal and cancel each other out.