Identify the Vertices and Co-Vertices of the Ellipse $9 x ^ { 2 } + 49 y ^ { 2 } - 4 = 0$

question 39

Multiple Choice

Identify the vertices and co-vertices of the ellipse $9 x ^ { 2 } + 49 y ^ { 2 } - 4 = 0$ .

• A)vertices: \(( - 3,0 ) , ( 3,0 )\) co-vertices: \(( 0 , - 7 ) , ( 0,7 )\)
• B)vertices: \(( 0 , - 7 ) , ( 0,7 )\) co-vertices: \(( - 3,0 ) , ( 3,0 )\)
• C)vertices: \(\left( - \frac { 3 } { 2 } , 0 \right) , \left( \frac { 3 } { 2 } , 0 \right)\) co-vertices: \(\left( 0 , - \frac { 7 } { 2 } \right) , \left( 0 , \frac { 7 } { 2 } \right)\)
• D)vertices: \(\left( - \frac { 2 } { 3 } , 0 \right) , \left( \frac { 2 } { 3 } , 0 \right)\) co-vertices: \(\left( 0 , - \frac { 2 } { 7 } \right) , \left( 0 , \frac { 2 } { 7 } \right)\)
• E)vertices: \(\left( 0 , - \frac { 2 } { 7 } \right) , \left( 0 , \frac { 2 } { 7 } \right)\) co-vertices: \(\left( - \frac { 3 } { 2 } , 0 \right) , \left( \frac { 3 } { 2 } , 0 \right)\)

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