contestada

The equation of OC is (x-5²) +(y+3)² = 9. Of the points P(2,- 1),Q(2,- 6), R(5,-2), and S(7,9), which point is located inside the circle? A. P(2,- 1) B.Q(2-6) C. R(5.-2) D. S(7,0)

Respuesta :

Given equation of the circle is

[tex](x-5)^2+(y+3)^2=9[/tex]

Now, for the point P,

[tex]\begin{gathered} (2-5)^2+(-1+3)^2=9+4 \\ =13>9 \end{gathered}[/tex]

For the point Q,

[tex]\begin{gathered} (2-5)^2+(-6+3)^2=9+9 \\ =18>9 \end{gathered}[/tex]

For the point R,

[tex](5-5)^2+(-2+3)^2=1<9[/tex]

Hence, the point R is inside the circle.

So, the correct answer is (c)

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