Find the Equation of the Circle $x ^ { 2 } + y ^ { 2 } + D x + E y + F = 0$

question 296

Multiple Choice

Find the equation of the circle $x ^ { 2 } + y ^ { 2 } + D x + E y + F = 0$ that passes through the points. $( 0,0 ) , ( 0,12 ) , ( 6,6 )$

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

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Definitions:

Selection Differential

A measure of the difference between the mean phenotype of the selected parents and the mean phenotype of the general population.

Narrow Sense Heritability

A measure of how much of the variance in a trait among individuals in a population is due to additive genetic factors.

Neck Length

A physical trait referring to the distance from the base of an animal's skull to its shoulders, significant in studies of natural selection and adaptation.

Evolutionary Change

A change in the genetic composition of a population over successive generations, leading to the development of new species or variation within species.