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

Question 20

Multiple Choice

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.
-An ellipse with intercepts (±4,0) ( \pm 4,0 ) and (0,±2) ( 0 , \pm 2 )


A) x24+y22=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 2 } = 1
B) x24+y216=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1
C) x216+y24=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } = 1
D) x22+y24=1\frac { x ^ { 2 } } { 2 } + \frac { y ^ { 2 } } { 4 } = 1

Correct Answer:

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