Question

which of the following statements are true and which are false? if the statement is true, draw a picture
(a)two circles can intersect at exactly one point
(b)two circles can intersect at exactly two points
(c)two circles can intersect in no points
(d)two circles can intersect in exactly three points
(e)two circles can intersect in four or more points

(a) choose the correct answer below

the statement is true.

the statement is false

Explanation:

For two circles, when they are tangent (either internally or externally), they touch at exactly one point, so this statement is true. A tangent circle configuration has the distance between centers equal to the sum (external tangent) or absolute difference (internal tangent) of the radii, resulting in one intersection point.

Answer:

The statement is true.