find the area of the ellipse

What is the center of the ellipse shown? => (0, 0) or (0, 1) or (0, 3) or (- 3, 0)..

Which of the following could be the eccentricity of an ellipse? => 5 3 or 3 2 or 3 5 or 1..

Find the polar equation for the ellipse with one focus at the pole. => r = 1 2 5 + 3 cos θ or r = 6 5 + 3 cos θ or r = 3 3 + 5 cos θ or None of the above..

Choose an equation for the ellipse shown. => 2 x 2 + y 2 = 2 or x 2 + 4 y 2 = 4 or 4 x 2 + y 2 = 4 or x 2 + 2 y 2 = 2..

Choose the graph of an ellipse whose domain is - 4 to 4. => Graph 1 or Graph 2 or Graph 3 or Graph 4..

What is the maximum number of points in which a hyperbola and an ellipse intersect each other? => 1 or 4 or 3 or 0..

Find the equation of the ellipse with foci (0, - 3) and (0, 3), and minor axis length of 4. => x 2 4 - y 2 1 3 = 1 or y 2 1 3 + x 2 4 = 1 or x 2 1 3 + y 2 4 = 1 or y 2 1 3 - x 2 4 = 1 or x 2 1 3 - y 2 4 = 1..

For an ellipse that generates the ellipsoid of a lithotripter, the major axis has end points (- 5, 0) and (5, 0). One end point of the minor axis is (0, 4). Write the equation of the ellipse. => x 2 1 6 + y 2 2 5 = 1 or x 2 2 5 + y 2 1 6 = 1 or x 2 + 16 y 2 = 16 or 25 x 2 + y 2 ..

Find an equation of the ellipse with foci (0, - 4) and (0, 4) whose minor axis has a length of 8 units. => 32 x 2 + 16 y 2 = 1 or y 2 3 2 + x 2 1 6 = 1 or x 2 3 2 - y 2 1 6 = 1 or x 2 3 2 + y 2 1 6 = 1..

Find the standard form of the equation for the ellipse whose major axis has end points (- 5 , - 5) and (9, - 5) and whose minor axis has length 6. => ( x - 2 ) 2 4 9 + ( y + 5 ) 2 9 = 1 or 49 x 2 + 7 y 2 = 1 or ( x - 2 ) 2 4 9 + ( y - 5 ) 2 9 = 1 or ( x - 2 ) 2 9 + ( y + 5 ) 2 4..