SOLUTION: Which of the following points lies on the circle whose center is at the origin and whose radius is 10? (-6,4) (sqrt 10, sqrt 10) (6,-8)

Algebra ->  Circles -> SOLUTION: Which of the following points lies on the circle whose center is at the origin and whose radius is 10? (-6,4) (sqrt 10, sqrt 10) (6,-8)       Log On


   

Question 1179960: Which of the following points lies on the circle whose center is at the origin and whose radius is 10?
(-6,4)
(sqrt 10, sqrt 10)
(6,-8)


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the circle whose center is at the origin and whose radius is 10?
x%5E2%2By%5E2=10%5E2
x%5E2%2By%5E2=100

(-6,4)
%28-6%29%5E2%2B4%5E2=100
36%2B16=100
52%3C%3E100=> the point (-6,4) does not lie on the circle


(sqrt%2810%29, sqrt%2810%29)
%28sqrt%2810%29%29%5E2%2B%28sqrt%2810%29%29%5E2=100
10%2B10=100
20%3C%3E100=>the point (sqrt%2810%29, sqrt%2810%29) does not lie on the circle

(6,-8)
6%5E2%2B+%28-8%29%5E2=100
36%2B+64=100
100=100=>the point (6,-8) lie on the circle