How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what points do these tangent lines touch the circles? (Enter your answers from smallest to largest x-value.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 5E
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How many lines are tangent to both of the circles 

x2 + y2 = 4

 and 

x2 + (y − 3)2 = 1?
 
At what points do these tangent lines touch the circles? (Enter your answers from smallest to largest x-value.)
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