Two circles of radius 1 are centered at (4,0) and (-4,0) How many circles are tangent to both of the given circles and also pass through the point (0,5)?
+26367 Two circles of radius 1 are centered at (4,0) and (-4,0)
How many circles are tangent to both of the given circles and also pass through the point (0,5)?
There are 4 circles.
\(\begin{array}{|l|lcll|} \hline 1 & x^2+\left(y-\dfrac{5}{3}\right)^2=\left(\dfrac{10}{3}\right)^2 \\ \hline 2 & \left(x+1.0328\right)^2+\left(y-1\right)^2\ =\ \left(4.13118\right)^2 \\ \hline 3 & \left(x-1.0328\right)^2+\left(y-1\right)^2=\left(4.13118\right)^2 \\ \hline 4 & x^2+y^2=5^2 \\ \hline \end{array}\)
+26367 Two circles of radius 1 are centered at (4,0) and (-4,0)
How many circles are tangent to both of the given circles and also pass through the point (0,5)?
There are 4 circles.
\(\begin{array}{|l|lcll|} \hline 1 & x^2+\left(y-\dfrac{5}{3}\right)^2=\left(\dfrac{10}{3}\right)^2 \\ \hline 2 & \left(x+1.0328\right)^2+\left(y-1\right)^2\ =\ \left(4.13118\right)^2 \\ \hline 3 & \left(x-1.0328\right)^2+\left(y-1\right)^2=\left(4.13118\right)^2 \\ \hline 4 & x^2+y^2=5^2 \\ \hline \end{array}\)
