Solve the Problem $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$

question 148

Multiple Choice

Solve the problem.
-Find the equation of the circle, written in the form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$ , passing through the points $( 11,6 ) , ( 6,1 )$ , and $( 9,10 )$ .

• A) \(x ^ { 2 } + y ^ { 2 } - 12 x - 12 y + 47 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } - 12 x - 12 y + 36 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 6 x - 6 y + 47 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } + 12 x + 12 y + 47 = 0\)

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Definitions:

Computational Formula

Formula that is an algebraic manipulation of a definitional formula designed to minimize the complexity of mathematical calculations.

Variance

The average of the squared differences from the Mean, a statistical measurement of the spread between numbers in a data set.

Computational Formula

A formula used to compute statistical measures that often simplifies the arithmetic process.

Variance

A measure of the dispersion or how spread out numbers are in a dataset.