Find the Standard Form of the Equation of the Ellipse $( 1 , - 3 )$

question 125

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Endpoints of major axis: $( 1 , - 3 )$ and $( 1,7 )$ ; endpoints of minor axis: $( - 3,2 )$ and $( 5,2 )$ ;

• A) \(\frac { ( x - 1 ) ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 16 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1\)

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