AnswersGeometryConic Sections

Conic Sections — Test Answers

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Which statements about the hyperbola are true? Choose three correct answers.

A
The center of the hyperbola is at open paren negative 2 comma 2 close paren .
B
There is a vertex at open paren negative 2 comma 7 close paren .
C
There is a vertex at open paren negative 5 comma 2 close paren .
D
The transverse axis is vertical.
E
The directrices are vertical lines.
22
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What is the equation of the hyperbola?

A
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
B
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
C
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
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
23

A hyperbola centered at the origin has a vertex at open paren 0 comma 36 close paren and a focus at open paren 0 comma 39 close paren ​ Which are the equations of the directrices?

A
x is equal to plus or minus 12 over 13
B
y is equal to plus or minus 12 over 13
C
x is equal to plus or minus 432 over 13
D
y is equal to plus or minus 432 over 13
24

What is the center of the hyperbola?

A
open paren 1 comma 6 close paren
B
open paren 1 comma 1 close paren
C
open paren 1 comma negative 2 close paren
D
open paren 1 comma 3 close paren
25

Which points are the vertices of the ellipse?

A
points cap j and cap k
B
points cap m and cap n
C
points cap g and cap h
D
points cap l and cap n

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Conic Sections — Test Answers — Geometry