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The coordinates of the points O, A and B of the plane are (0, 0), (0, 12) and (108, 0), respectively. A point P=(x,y) is such that the area of triangle ΔPOA is twice the area of triangle ΔPOB. We can then say that the coordinates of P satisfy the relationship: Choose an option: a. x^(2)−81/4y^(2)=0 b. x^(2)−324y^(2)=0 c. x^(2)−81y^(2)=0 d. x^(2)−18y^(2)=0 e.x^(2)−54y^(2)=0

The coordinates of the points O, A and B of the plane are (0, 0), (0, 12) and (108, 0), respectively. A point P=(x,y) is such that the area of triangle ΔPOA is twice the area of triangle ΔPOB. We can then say that the coordinates of P satisfy the relationship: Choose an option: a. x^(2)−81/4y^(2)=0 b. x^(2)−324y^(2)=0 c. x^(2)−81y^(2)=0 d. x^(2)−18y^(2)=0 e.x^(2)−54y^(2)=0

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The coordinates of the points O, A and B of the plane are (0, 0), (0, 12) and (108, 0), respectively. A point P=(x,y) is such that the area of triangle ΔPOA is twice the area of triangle ΔPOB. We can then say that the coordinates of P satisfy the relationship:

Choose an option:

a. x^(2)−81/4y^(2)=0
b. x^(2)−324y^(2)=0
c. x^(2)−81y^(2)=0
d. x^(2)−18y^(2)=0
e.x^(2)−54y^(2)=0
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