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Find the Standard-Form Equation of the Hyperbola Centered at the Origin

Question 36

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (2, 0) and (-2, 0) ; foci at (4, 0) and (-4, 0)


A) x216y24=1\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1
B) x24y212=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 12 } = 1
C) x24y216=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1
D) x212y24=1\frac { x ^ { 2 } } { 12 } - \frac { y ^ { 2 } } { 4 } = 1

Correct Answer:

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