Write the Standard Form of the Equation of the Circle $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 8$

question 243

Multiple Choice

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3, 4) , (7, 8)

• A) \(( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 8\)
• B) \(( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 8\)
• C) \(( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 8\)
• D) \(( x + 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 340\)
• E) \(( x - 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 340\)

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Definitions:

Southern School

In Chinese painting, it refers to a school or style focused on more expressive, spontaneous techniques, emphasizing the spiritual and emotional aspects of art, distinguished from the more formal Northern School.

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The official residence of an emperor or empress, often grandiose and lavishly decorated, symbolizing the sovereign's power and status.

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A large imperial palace complex in Beijing, China, that served as the home of emperors and their households for almost 500 years, showcasing traditional Chinese palatial architecture.

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A major Chinese dynasty that ruled from 1368 to 1644, known for its cultural achievements and expansion of the Great Wall of China.