7
practice testMultiple Choice

Practice Test

Question 7 • Geometry

The equation the fraction with numerator y squared and denominator 100 plus the fraction with numerator x squared and denominator 4 is equal to 1 represents an ellipse. Which points are the vertices of the ellipse?

Answer
A
open paren 0 comma negative 2 close paren and open paren 0 comma 2 close paren
B
open paren negative 2 comma 0 close paren and open paren 2 comma 0 close paren
C
open paren negative 10 comma 0 close paren and open paren 10 comma 0 close paren
D
open paren 0 comma negative 10 close paren and open paren 0 comma 10 close paren

Explanation

In the standard ellipse equation, the larger denominator gives the square of the semimajor axis. Here, 100 is under y², so the ellipse extends 10 units in both the positive and negative y-directions from its center at (0, 0). Therefore, its vertices are (0, −10) and (0, 10), the points in choice A.

AI-written and checked against the verified answer.

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