Find an Equation of a Circle That Satisfies the Following $( 1,2 )$

question 56

Multiple Choice

Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: $( 1,2 )$ ; passing through $( 5 , - 3 )$

• A) \(( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }\)
• B) \(( x - 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }\)
• C) \(( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = ( \sqrt { 34 } ) ^ { 2 }\)
• D) \(( x - 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = ( \sqrt { 41 } ) ^ { 2 }\)
• E) \(( x - 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = ( \sqrt { 34 } ) ^ { 2 }\)

---

Definitions:

Rival Consumption

A situation where the consumption of a good by one individual prevents simultaneous consumption by other individuals.

Excludable

A characteristic of a good or service where it's possible to prevent individuals who have not paid for it from having access.

Television Signal

The electronic waves transmitted from a broadcast station that carry audio and visual information to televisions.

Nonrival Consumption

A characteristic of goods where one person's consumption does not reduce availability or enjoyment of the good for others.