Question #130310
Determine whether each of the following points is inside, outside, or on the circle with equation x^2+y^2=5.
A) (-1,2)
B) (3/2,2)
C) (-1,3/2)
1
Expert's answer
2020-08-24T18:33:31-0400

ANSWER: point A) is located on the circle, point B)is located outside the circle, point C)is located inside the circle

EXPLANATION

A) (1,2):(1)2+22=1+4=5(-1,2)\quad : { (-1) }^{ 2 }{ +2 }^{ 2 }=1+4=5

B) (3/2,2):  (3/2)2+22=9/4+4=25/4>5(3/2,2):\ \ { (3/2) }^{ 2 }\quad { +2 }^{ 2 }=9/4+4=25/4>5

C)(1,3/2):(1)2+(3/2)2=1+9/4=13/4<5(-1,3/2): { (-1) }^{ 2 }+{ (3/2) }^{ 2 }=1+9/4=13/4<5


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