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:

Cranial Nerves

Twelve pairs of nerves that emerge directly from the brain, not through the spinal cord, and affect areas such as the head and neck.

Cerebellum

A part of the brain at the back of the skull, which regulates movement, posture, and balance.

Traumatic Head Injury

Physical trauma to the head that can lead to various levels of brain injury, ranging from minor concussions to severe brain damage.

Corpora Quadrigemina

A structure in the midbrain consisting of four bodies, the superior and inferior colliculi, involved in visual and auditory processes.