Question 42 Answer and Explanation _ACT December 2012 Form 71A Math Section

42. Circle P has a radius of 4 units and is in the standard (x, y) coordinate plane. The set of all points in the coordinate plane that are 3 units from the center of Circle P is a circle that：

F. intersects Circle P at 2 points.

G. is internally tangent to Circle P.

H. is externally tangent to Circle P.

J. is interior to and does not intersect Circle P.

K. is exterior to and does not intersect Circle P.

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

All points with a distance of 3 units from the center of the circle are circles with a radius of 3, which are the concentric circles of the circle with a radius of 4 in the stem, so J.