Find the Equation of the Circle, Written in the Form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$

question 98

Multiple Choice

Find the equation of the circle, written in the form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$ passing through the points (10,3) ,(5,-2) , and (8,7) .

• A) \(x ^ { 2 } + y ^ { 2 } - 5 x - 3 y + 9 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } + 10 x + 6 y + 9 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 10 x - 6 y - 2 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } - 10 x - 6 y + 9 = 0\)

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Definitions:

Price Elasticity

A measure of how sensitive the quantity demanded of a good is to a change in its price.

Quantity Demanded

The overall volume of a good or service buyers are prepared and capable of acquiring at a designated price during a specified period.

Time Horizon

The length of time over which an investment or a project is intended or expected to occur.

Price Elasticity

A quantification of the demand elasticity for a good relative to its price alterations.