SOLUTION: 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

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,

=>
=>
=> 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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