Identify the Center of the Ellipse and the Foci $\frac { 25 ( x - 3 ) ^ { 2 } } { 169 } + \frac { 49 ( y + 6 ) ^ { 2 } } { 225 } = 1$

question 118

Multiple Choice

Identify the center of the ellipse and the foci.
- $\frac { 25 ( x - 3 ) ^ { 2 } } { 169 } + \frac { 49 ( y + 6 ) ^ { 2 } } { 225 } = 1$

• A) center: \(( - 3,6 )\);
• foci: \(\left( - 3 + \frac { 4 \sqrt { 166 } } { 35 } , 6 \right)\) and \(\left( - 3 - \frac { 4 \sqrt { 166 } } { 35 } , 6 \right)\)
• B) center: \(( - 6,3 )\);
• foci: \(( - 6 + 4 \sqrt { 166 } , 3 )\) and \(( - 6 - 4 \sqrt { 166 } , 3 )\)
• C) center: \(( 6 , - 3 )\);
• foci: \(( 6 + 4 \sqrt { 166 } , - 3 )\) and \(( 6 - 4 \sqrt { 166 } , - 3 )\)
• D) center: \(( 3 , - 6 )\);
• foci: \(\left( 3 + \frac { 4 \sqrt { 166 } } { 35 } , - 6 \right)\) and \(\left( 3 - \frac { 4 \sqrt { 166 } } { 35 } , - 6 \right)\)

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A method of moving funds or assets from one account or entity directly to another without any intermediaries.