Identify the conic as a circle or an ellipse then find the radius for circle or center for ellipse. $\frac { x ^ { 2 } } { 4 / 49 } + \frac { ( y + 1 ) ^ { 2 } } { 4 / 49 } = 1$
A)Ellipse Center: $\frac { 2 } { 7 }$
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius: $\frac { 2 } { 7 }$
E)None of the above

Question

Identify the conic as a circle or an ellipse then find the radius for circle or center for ellipse.​ $\frac { x ^ { 2 } } { 4 / 49 } + \frac { ( y + 1 ) ^ { 2 } } { 4 / 49 } = 1$ ​
A)Ellipse Center: $\frac { 2 } { 7 }$
B)Ellipse Center: 1
C)Circle Radius: 1
D)Circle Radius: $\frac { 2 } { 7 }$
E)None of the above

Quizplus · Accepted Answer

The equation of the conic is in the standard form of a circle with center (1,0) and radius sqrt(7). Therefore, it is a circle and the radius is sqrt(7).

Identify the Conic as a Circle or an Ellipse Then x24/49+(y+1)24/49=1\frac { x ^ { 2 } } { 4 / 49 } + \frac { ( y + 1 ) ^ { 2 } } { 4 / 49 } = 14/49x2​+4/49(y+1)2​=1

Identify the Conic as a Circle or an Ellipse Then $\frac { x ^ { 2 } } { 4 / 49 } + \frac { ( y + 1 ) ^ { 2 } } { 4 / 49 } = 1$