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Question 989022: Find the equations of the two circles with centres on the x-axis and radius 4 which both touch the circle x^2 + y^2- 2x-6y+ 9= 0 externally
Answer by anand429(138)   (Show Source):
You can put this solution on YOUR website! 
=> 
So, centre of given circle, is (1,3) and radius 1.
Let centre of required circles be (a,0), radius given = 4
Draw figure joining centres and applying pythagoras theorem, we get,
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=> 
=> a = 5 or a = -3
So, centre of required circles are (5,0) and (-3,0)
And equations are:-
 and 
=>  and 
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