Q:

which of the following could not be points on the unit circle

Accepted Solution

A:
Answer:B and C cannot be points on the unit circle Step-by-step explanation:This like asking which of the points does not satisfy x^2+y^2=1.Let's look at (-2/3 , sqrt(5)/3)x=-2/3y=sqrt(5)/3We have x^2=4/9 while y^2=5/9, and x^2+y^2=4/9+5/9=9/9=1.This first one looks great and is on the unit circle.Let's look at (sqrt(3)/2 , 1/3)x=sqrt(3)/2y=1/3We have x^2=3/4 and y^2=1/9 , and x^2+y^2=3/4+1/9=31/36 (this is not 1).This point is not on the unit circle.Let's look at (1,1)x=1y=1We have x^2=1 and y^2=1, and x^2+y^2=1+1=2 (this is not 1).This point is not on the unit circle.Let's look at (0.8,-0.6)x=0.8y=-0.6We have x^2=.64 and y^2=.36, and x^2+y^2=.64+.36=1This point is on the unit circle.