An Elliptical Stained-Glass Insert Is to Be Fitted in a 6ft

question 388

Multiple Choice

An elliptical stained-glass insert is to be fitted in a 6ft by 4 ft 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) \(\frac { x ^ { 2 } } { 3 } - \frac { y ^ { 2 } } { 2 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)

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