An Elliptical Stained-Glass Insert Is to Be Fitted in a 4ft

question 61

Multiple Choice

An elliptical stained-glass insert is to be fitted in a 4ft by 6ft rectangular opening (see figure) . Using the coordinate system shown,find an equation for the ellipse. ​

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \[\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1\]
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 6 } = 1\)

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