Write the Equation of the Ellipse with Center At $( 1,4 ) , a = 3 , b = 2$

question 75

Multiple Choice

Write the equation of the ellipse with center at $( 1,4 ) , a = 3 , b = 2$ and major axis parallel to the $x$ -axis.

• A) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1\)
• B) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } - \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1\)
• C) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = - 1\)
• D)
• \[\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 4 ) ^ { 2 } } { 9 } = 1\]
• E) none of these

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