Question

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?

Answer 1

check the distance between the center and a point on the circle, thus getting the RADIUS

so any point whose distance from the center equals the RADIUS, thus lies on the circle

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
A&({\color{red}{ -3}}\quad ,&{\color{blue}{ 2}})\quad B&({\color{red}{ 1}}\quad ,&{\color{blue}{ 3}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2} \)

Answer 2

-1

Answer 3

so C -1,-2

Answer 4

hmmm what did you get for the radius?

Answer 5

r=5

Answer 6

\(\bf \bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
A&({\color{red}{ -3}}\quad ,&{\color{blue}{ 2}})\quad B&({\color{red}{ 1}}\quad ,&{\color{blue}{ 3}})
\end{array}\qquad
d = \sqrt{({\color{red}{ 1}}-{\color{red}{ -3}})^2 + ({\color{blue}{ 3}}-{\color{blue}{ 2}})^2}\)

Answer 7

i got it -2,6

Answer 8

i got it -2,6 \(\checkmark\)

Answer 9

thanks