Go Pro!

Circle Sandwich

Pro Problems > Math > Geometry > Analytic Geometry > Circles

Circle Sandwich

A circle is tangent to the lines y = 2x + 1 and 2y = -x + 1. Its center lies on the x - axis. What are the possible equations of the circle?

Presentation mode
Problem by Mr. Twitchell


In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.

Similar Problems

Circle and Line

A circle's center lies along a line with a 45 degree angle of inclination. The line passes through the point (1, -1) and the circle passes through the point (6, 1). The radius of the circle is
. Find all possible centers of the circle.

Intersecting Circles

Two circles intersect at the points (-3 5) and (-3, -3). The radius of one circle is 4 units, and the distance between the centers is 5 units. Find the radius of the other circle.

Circle and Parabola

The center of a circle lies at the focus of a parabola. The circle is tangent to the parabola's directrix.  The circle and the parabola intersect at the points (-7, 6) and (5,6).  Find all possible centers of the circle.

Center, Radius, Point

The center of a circle lies along the line y = 3x - 4. The circle's radius is
units, and the circle contains the point (5,2). Find all possible equations for the circle.

Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!
Get a FREE Pro-Membership!
Educators can get a free membership simply by sharing an original lesson plan on our Articles for Educators page!

Like us on Facebook to get updates about new resources
Pro Membership