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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Definitions:

Lead Away

To guide or direct someone or something away from a certain place.

Middle

The central point or part of something.

Impulses

Electrical or chemical signals transmitted through neurons that facilitate communication within the brain and between the brain and the rest of the body.

Center

A point of convergence or a central focal point.