AnswersGeometryEquations of Ellipses — QuizQuestion 6
6
QuizMultiple Choice

Equations of Ellipses — Quiz

Question 6 • Geometry

The equation the fraction with numerator open paren y plus 5 close paren squared and denominator 121 plus the fraction with numerator open paren x minus 9 close paren squared and denominator 49 is equal to 1 represents an ellipse. Which point is the center of the ellipse?

Answer
A
open paren 5 comma negative 9 close paren
B
open paren 9 comma negative 5 close paren
C
open paren negative 5 comma 9 close paren
D
open paren negative 9 comma 5 close paren

Explanation

An ellipse in standard form has center at the values that make each squared term zero. Here, (x − 9) is zero when x = 9, and (y + 5) is zero when y = −5. Therefore, the center is (9, −5), choice A.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz