AnswersPrecalculusModeling with Conic Sections and Polar Equations

Modeling with Conic Sections and Polar Equations — Test Answers

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21
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Which equation represents this ellipse?

A
the fraction with numerator open paren x plus 6 close paren squared and denominator 49 plus the fraction with numerator open paren y plus 2 close paren squared and denominator 9 is equal to 1
B
the fraction with numerator open paren x minus 6 close paren squared and denominator 49 plus the fraction with numerator open paren y minus 2 close paren squared and denominator 9 is equal to 1
C
the fraction with numerator open paren y plus 6 close paren squared and denominator 49 plus the fraction with numerator open paren x plus 2 close paren squared and denominator 9 is equal to 1
D
the fraction with numerator open paren y minus 6 close paren squared and denominator 49 plus the fraction with numerator open paren x minus 2 close paren squared and denominator 9 is equal to 1
22
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Which lines are the directrices of the ellipse?

A
x is equal to negative 3 point 2 5 and x is equal to 9 point 2 5
B
x is equal to negative 4 point 2 5 and x is equal to 8 point 2 5
C
y is equal to negative 3 point 2 5 and y is equal to 9 point 2 5
D
y is equal to negative 4 point 2 5 and y is equal to 8 point 2 5
23

What is the center of the hyperbola?

A
open paren 1 comma 1 close paren
B
open paren 1 comma negative 2 close paren
C
open paren 1 comma 3 close paren
D
open paren 1 comma 6 close paren
24

What are the coordinates of a vertex of the hyperbola?

A
open paren 0 comma 5 close paren
B
open paren negative 3 comma 0 close paren
C
open paren 0 comma negative 4 close paren
D
open paren 0 comma 0 close paren
25

What is the equation of the hyperbola?

A
the fraction with numerator y squared and denominator 20 squared minus the fraction with numerator x squared and denominator 12 squared is equal to 1
B
the fraction with numerator y squared and denominator 16 squared minus the fraction with numerator x squared and denominator 12 squared is equal to 1
C
the fraction with numerator y squared and denominator 12 squared minus the fraction with numerator x squared and denominator 16 squared is equal to 1
D
the fraction with numerator y squared and denominator 16 squared minus the fraction with numerator x squared and denominator 20 squared is equal to 1

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