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

question 282

Multiple Choice

Find the equation of the circle $x ^ { 2 } + y ^ { 2 } + D x + E y + F = 0$ that passes through the points. $( 0,0 ) , ( 0 , - 3 ) , ( 4,0 )$

• A) \(x ^ { 2 } + y ^ { 2 } - 4 x + 3 y = 0\)
• B) \(x ^ { 2 } - y ^ { 2 } - 4 x - 3 y = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 4 x - 3 y = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } + 4 x + 3 y = 0\)
• E) \(x ^ { 2 } - y ^ { 2 } - 4 x + 3 y = 0\)

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Definitions:

Lower-Order Needs

refer to basic human requirements such as safety, physiological needs, and security, primarily described in Maslow's hierarchy of needs.

Maslow's Hierarchy

A psychological theory proposing that humans are motivated by five basic categories of needs: physiological, safety, love/belonging, esteem, and self-actualization, in that order.

Lower-Order Needs

Basic human requirements such as physiological and safety needs that must be satisfied before higher-order needs can be addressed.

Higher-Order Needs

Esteem and self-actualization needs in Maslow’s hierarchy.