AnswersGeometryEquations of Ellipses

Equations of Ellipses — Quiz Answers

10 verified answers1 views
1
Free Preview

The equation the fraction with numerator open paren x minus 7 close paren squared and denominator 64 plus the fraction with numerator open paren y plus 2 close paren squared and denominator 9 is equal to 1 represents an ellipse. Which points are the vertices of the ellipse?

A
open paren 10 comma negative 2 close paren and open paren 4 comma negative 2 close paren
B
open paren 15 comma negative 2 close paren and open paren negative 1 comma negative 2 close paren
C
open paren 7 comma negative 10 close paren and open paren 7 comma 6 close paren
D
open paren 7 comma 1 close paren and open paren 7 comma negative 5 close paren
3

The center of an ellipse is located at open paren 0 comma 0 close paren One focus is located at open paren 12 comma 0 close paren , and one directrix is at x is equal to 14 and 1 over 12 Which equation represents the ellipse?

A
the fraction with numerator x squared and denominator 13 squared plus the fraction with numerator y squared and denominator 12 squared is equal to 1
B
the fraction with numerator x squared and denominator 14 squared plus the fraction with numerator y squared and denominator 13 squared is equal to 1
C
the fraction with numerator x squared and denominator 14 squared plus the fraction with numerator y squared and denominator 5 squared is equal to 1
D
the fraction with numerator x squared and denominator 13 squared plus the fraction with numerator y squared and denominator 5 squared is equal to 1
5

The equation the fraction with numerator open paren x plus 1 close paren squared and denominator 225 plus the fraction with numerator open paren y plus 6 close paren squared and denominator 144 is equal to 1 represents an ellipse. Which points are the foci of the ellipse?

A
open paren negative 10 comma negative 6 close paren and open paren 8 comma negative 6 close paren
B
open paren negative 16 comma negative 6 close paren and open paren 14 comma negative 6 close paren
C
open paren negative 1 comma negative 18 close paren and open paren negative 1 comma 6 close paren
D
open paren negative 1 comma negative 15 close paren and open paren negative 1 comma 3 close paren
8

The equation the fraction with numerator open paren y minus 8 close paren squared and denominator 49 plus the fraction with numerator open paren x minus 1 close paren squared and denominator 36 is equal to 1 represents an ellipse. Which points are the approximate locations of the foci of the ellipse? Round to the nearest tenth.

A
open paren negative 2 point 6 comma negative 8 close paren and open paren 4 point 6 comma 8 close paren
B
open paren 11 point 6 comma 1 close paren and open paren 4 point 4 comma 1 close paren
C
open paren negative 8 comma negative 4 point 6 close paren and open paren negative 8 comma 2 point 6 close paren
D
open paren 1 comma 4 point 4 close paren and open paren 1 comma 11 point 6 close paren
9

An ellipse has a center at the origin, a vertex along the major axis at open paren 10 comma 0 close paren , and a focus at open paren 8 comma 0 close paren Which equation represents this ellipse?

A
the fraction with numerator x squared and denominator 10 squared plus the fraction with numerator y squared and denominator 6 squared is equal to 1
B
the fraction with numerator x squared and denominator 10 squared plus the fraction with numerator y squared and denominator 8 squared is equal to 1
C
the fraction with numerator y squared and denominator 10 squared plus the fraction with numerator x squared and denominator 8 squared is equal to 1
D
the fraction with numerator y squared and denominator 10 squared plus the fraction with numerator x squared and denominator 6 squared is equal to 1
10

The equation the fraction with numerator x squared and denominator 121 plus the fraction with numerator y squared and denominator 1 is equal to 1 represents an ellipse. Which points are the vertices of the ellipse?

A
open paren 0 comma negative 11 close paren and open paren 0 comma 11 close paren
B
open paren negative 1 comma 0 close paren and open paren 1 comma 0 close paren
C
open paren 0 comma negative 1 close paren and open paren 0 comma 1 close paren
D
open paren negative 11 comma 0 close paren and open paren 11 comma 0 close paren

Did you find these answers helpful?

Equations of Ellipses — Quiz Answers — Geometry