Answer to Question #130310 in Analytic Geometry for Galata

Question

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)

Answer 1

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

EXPLANATION

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

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

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