Find the Vertices and Locate the Foci for the Hyperbola $\frac { \mathrm { x } ^ { 2 } } { 144 } - \frac { \mathrm { y } ^ { 2 } } { 4 } = 1$

question 73

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $\frac { \mathrm { x } ^ { 2 } } { 144 } - \frac { \mathrm { y } ^ { 2 } } { 4 } = 1$

• A) vertices: \(( - 12,0 ) , ( 12,0 )\)
• foci: \(( - 2 \sqrt { 37 } , 0 ) , ( 2 \sqrt { 37 } , 0 )\)
• B) vertices: \(( - 2,0 ) , ( 2,0 )\)
• foci: \(( - 2 \sqrt { 37 } , 0 ) , ( 2 \sqrt { 37 } , 0 )\)
• C) vertices: \(( 0 , - 12 ) , ( 0,12 )\)
• foci: \(( - 2 \sqrt { 37 } , 0 ) , ( 2 \sqrt { 37 } , 0 )\)
• D) vertices: \(( - 12,0 ) , ( 12,0 )\)
• foci: \(( - 2,0 ) , ( 2,0 )\)

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Definitions:

Self-Handicapping

A cognitive strategy where individuals create obstacles or excuses to avoid self-blame in case of failure.

Self-Mutilation

The act of deliberately injuring one's own body without the intent of suicide, often as a way to cope with emotional pain or distress.

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A psychological trait characterized by mood swings, anxiety, irritability, and feelings of distress.

Self-Serving Biases

Attributional distortions that protect or enhance self-esteem or the self-concept.